Carl Martin Bender - Publications

Affiliations: 
1970-1977 Massachusetts Institute of Technology, Cambridge, MA, United States 
 1977- Physics Washington University, Saint Louis, St. Louis, MO 
Area:
Mathematical Physics
Website:
http://www.physics.wustl.edu/~cmb/

272 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Bender CM, Brody DC, Parry MF. Making sense of the divergent series for reconstructing a Hamiltonian from its eigenstates and eigenvalues American Journal of Physics. 88: 148-152. DOI: 10.1119/10.0000215  0.387
2019 Beygi A, Klevansky SP, Bender CM. Relativistic PT -symmetric fermionic theories in 1+1 and 3+1 dimensions Physical Review A. 99. DOI: 10.1103/Physreva.99.062117  0.367
2019 Bender CM, Komijani J, Wang Q. Nonlinear eigenvalue problems for generalized Painlevé equations Journal of Physics a: Mathematical and Theoretical. 52: 315202. DOI: 10.1088/1751-8121/Ab2Bcc  0.765
2019 Bender CM, Brody DC. Operator-valued zeta functions and Fourier analysis Journal of Physics a: Mathematical and Theoretical. 52: 345201. DOI: 10.1088/1751-8121/Ab25Fa  0.314
2018 Bender CM, Hassanpour N, Klevansky S, Sarkar S. PT -symmetric quantum field theory in D dimensions Physical Review D. 98. DOI: 10.1103/Physrevd.98.125003  0.474
2018 Bender CM, Gianfreda M. Scattering off PT -symmetric upside-down potentials Physical Review A. 98. DOI: 10.1103/Physreva.98.052118  0.363
2018 Beygi A, Klevansky SP, Bender CM. Two- and four-dimensional representations of the PT - and CPT -symmetric fermionic algebras Physical Review A. 97. DOI: 10.1103/Physreva.97.032128  0.383
2018 Bender CM, Sarkar S. Asymptotic analysis of the local potential approximation to the Wetterich equation Journal of Physics a: Mathematical and Theoretical. 51: 225202. DOI: 10.1088/1751-8121/Aabf63  0.399
2018 Bender CM, Brody DC. Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian Journal of Physics a: Mathematical and Theoretical. 51: 135203. DOI: 10.1088/1751-8121/Aab068  0.353
2017 Bender CM, Brody DC, Müller MP. Hamiltonian for the Zeros of the Riemann Zeta Function. Physical Review Letters. 118: 130201. PMID 28409977 DOI: 10.1103/Physrevlett.118.130201  0.352
2017 Bender CM, Hassanpour N, Hook DW, Klevansky SP, Sünderhauf C, Wen Z. Behavior of eigenvalues in a region of broken PT symmetry Physical Review A. 95. DOI: 10.1103/Physreva.95.052113  0.394
2017 Alexandre J, Bender CM, Millington P. Light neutrino masses from a non-Hermitian Yukawa theory Journal of Physics: Conference Series. 873: 012047. DOI: 10.1088/1742-6596/873/1/012047  0.41
2016 Cuevas-Maraver J, Kevrekidis PG, Saxena A, Cooper F, Khare A, Comech A, Bender CM. Solitary Waves of a ℘T-Symmetric Nonlinear Dirac Equation Ieee Journal On Selected Topics in Quantum Electronics. 22. DOI: 10.1109/Jstqe.2015.2485607  0.312
2016 Bender CM, Ghatak A, Gianfreda M. $\mathcal{P}\mathcal{T}$ -symmetric model of immune response Journal of Physics a: Mathematical and Theoretical. 50: 035601. DOI: 10.1088/1751-8121/50/3/035601  0.33
2016 Bender CM. Rigorous backbone of PT-symmetric quantum mechanics Journal of Physics a: Mathematical and Theoretical. 49. DOI: 10.1088/1751-8113/49/40/401002  0.363
2016 Bender CM, Felski A, Hassanpour N, Klevansky SP, Beygi A. Analytic structure of eigenvalues of coupled quantum systems Physica Scripta. 92: 015201. DOI: 10.1088/0031-8949/92/1/015201  0.383
2016 Bender CM, Gianfreda M, Hassanpour N, Jones HF. Comment on "On the Lagrangian and Hamiltonian description of the damped linear harmonic oscillator" [J. Math. Phys. 48, 032701 (2007)] Journal of Mathematical Physics. 57. DOI: 10.1063/1.4960722  0.351
2015 Beygi A, Klevansky SP, Bender CM. Coupled oscillator systems having partial PT symmetry Physical Review a - Atomic, Molecular, and Optical Physics. 91. DOI: 10.1103/Physreva.91.062101  0.408
2015 Bender CM, Komijani J. Painlevé transcendents and PT-symmetric Hamiltonians Journal of Physics a: Mathematical and Theoretical. 48. DOI: 10.1088/1751-8113/48/47/475202  0.765
2015 Bender CM, Gianfreda M. PT-symmetric interpretation of the electromagnetic self-force Journal of Physics a: Mathematical and Theoretical. 48. DOI: 10.1088/1751-8113/48/34/34Ft01  0.376
2015 Alexandre J, Bender CM. Foldy - Wouthuysen transformation for non-Hermitian Hamiltonians Journal of Physics a: Mathematical and Theoretical. 48: 1-8. DOI: 10.1088/1751-8113/48/18/185403  0.315
2015 Bender CM. PT-symmetric quantum theory Journal of Physics: Conference Series. 631. DOI: 10.1088/1742-6596/631/1/012002  0.365
2015 Alexandre J, Bender CM, Millington P. Non-Hermitian extension of gauge theories and implications for neutrino physics Journal of High Energy Physics. 2015: 1-24. DOI: 10.1007/Jhep11(2015)111  0.398
2014 Bender CM, Hook DW, Mavromatos NE, Sarkar S. Infinite class of PT-symmetric theories from one timelike Liouville Lagrangian. Physical Review Letters. 113: 231605. PMID 25526116 DOI: 10.1103/Physrevlett.113.231605  0.468
2014 Bender CM, Hook DW. Complex Classical Motion in Potentials with Poles and Turning Points Studies in Applied Mathematics. 133: 318-336. DOI: 10.1111/Sapm.12059  0.332
2014 Bender CM, Gianfreda M, Klevansky SP. Systems of coupled PT -symmetric oscillators Physical Review a - Atomic, Molecular, and Optical Physics. 90. DOI: 10.1103/Physreva.90.022114  0.329
2014 Bender CM, Jones HF. Calculation of low-lying energy levels in quantum mechanics Journal of Physics a: Mathematical and Theoretical. 47. DOI: 10.1088/1751-8113/47/39/395303  0.419
2014 Bender CM, Fring A, Komijani J. Nonlinear eigenvalue problems Journal of Physics a: Mathematical and Theoretical. DOI: 10.1088/1751-8113/47/23/235204  0.784
2013 Bender CM, DeKieviet M, Klevansky SP. PT quantum mechanics. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 371: 20120523. PMID 23509390 DOI: 10.1098/Rsta.2012.0523  0.407
2013 Bender CM, Brody DC, Caldeira J, Günther U, Meister BK, Samsonov BF. PT-symmetric quantum state discrimination. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 371: 20120160. PMID 23509387 DOI: 10.1098/Rsta.2012.0160  0.357
2013 Bender CM, Branchina V, Messina E. Critical behavior of thePT-symmetriciϕ3quantum field theory Physical Review D. 87. DOI: 10.1103/Physrevd.87.085029  0.334
2013 Bender CM, Mavromatos NE, Sarkar S. Asymptotic analysis of the Boltzmann equation for dark matter relics in the presence of a running dilaton and space-time defects Physical Review D. 87. DOI: 10.1103/Physrevd.87.055021  0.411
2013 Bender CM, Gianfreda M, Özdemir SK, Peng B, Yang L. Twofold transition in PT -symmetric coupled oscillators Physical Review a - Atomic, Molecular, and Optical Physics. 88. DOI: 10.1103/Physreva.88.062111  0.333
2013 Bender CM, Sarkar S. Double-scaling limit of the O(N)-symmetric anharmonic oscillator Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/44/442001  0.452
2013 Bender CM, Gianfreda M. Nonuniqueness of the C operator in PT-symmetric quantum mechanics Journal of Physics a: Mathematical and Theoretical. 46. DOI: 10.1088/1751-8113/46/27/275306  0.332
2013 Bender CM, Moshe M, Sarkar S. $\mathcal {P}\mathcal {T}$-symmetric interpretation of double-scaling Journal of Physics a: Mathematical and Theoretical. 46: 102002. DOI: 10.1088/1751-8113/46/10/102002  0.46
2013 Bender CM, Boettcher S. Comment on 'Numerical estimates of the spectrum for anharmonic PT symmetric potentials' Physica Scripta. 87. DOI: 10.1088/0031-8949/87/01/017001  0.563
2012 Bender CM, Branchina V, Messina E. Ordinary versusPT-symmetricϕ3quantum field theory Physical Review D. 85. DOI: 10.1103/Physrevd.85.085001  0.471
2012 Bender CM, Hook DW. Universal spectral behavior of x2 (ix )ε potentials Physical Review a - Atomic, Molecular, and Optical Physics. 86. DOI: 10.1103/Physreva.86.022113  0.385
2012 Bender CM, Jones HF. Wentzel-Kramers-Brillouin analysis of PT-symmetric Sturm-Liouville problems Physical Review a - Atomic, Molecular, and Optical Physics. 85. DOI: 10.1103/Physreva.85.052118  0.367
2012 Anderson AG, Bender CM. Complex trajectories in a classical periodic potential Journal of Physics a: Mathematical and Theoretical. 45. DOI: 10.1088/1751-8113/45/45/455101  0.318
2012 Bender CM, Kuzhel S. Unbounded C-symmetries and their nonuniqueness Journal of Physics a: Mathematical and Theoretical. 45. DOI: 10.1088/1751-8113/45/44/444005  0.434
2012 Bender CM, Jones HF. WKB analysis of PT-symmetric Sturm-Liouville problems Journal of Physics a: Mathematical and Theoretical. 45. DOI: 10.1088/1751-8113/45/44/444004  0.377
2012 Bender CM, Hook DW, Klevansky SP. Negative-energy $\mathcal {P}\mathcal {T}$-symmetric Hamiltonians Journal of Physics a: Mathematical and Theoretical. 45: 444003. DOI: 10.1088/1751-8113/45/44/444003  0.363
2012 Bender C, Fring A, Günther U, Jones H. Quantum physics with non-Hermitian operators Journal of Physics a: Mathematical and Theoretical. 45: 440301. DOI: 10.1088/1751-8113/45/44/440301  0.446
2012 Bender CM, Weir DJ. PT phase transition in multidimensional quantum systems Journal of Physics a: Mathematical and Theoretical. 45. DOI: 10.1088/1751-8113/45/42/425303  0.363
2012 Bender CM. PT quantum mechanics - Recent results Aip Conference Proceedings. 1479: 517-521. DOI: 10.1063/1.4756181  0.38
2012 Bender CM, Sarkar S. Asymptotic analysis of the Boltzmann equation for dark matter relics Journal of Mathematical Physics. 53. DOI: 10.1063/1.4753990  0.352
2012 Bender CM, Gianfreda M. Matrix representation of the time operator Journal of Mathematical Physics. 53. DOI: 10.1063/1.4729286  0.357
2011 Bender CM, Mannheim PD. Publisher’s Note:PTsymmetry in relativistic quantum mechanics [Phys. Rev. D84, 105038 (2011)] Physical Review D. 84. DOI: 10.1103/Physrevd.84.129902  0.347
2011 Bender CM, Mannheim PD. PT symmetry in relativistic quantum mechanics Physical Review D - Particles, Fields, Gravitation and Cosmology. 84. DOI: 10.1103/PhysRevD.84.105038  0.3
2011 Bender CM, Jones HF. Bound states of PT-symmetric separable potentials Physical Review a - Atomic, Molecular, and Optical Physics. 84. DOI: 10.1103/Physreva.84.032103  0.35
2011 Bender CM, Klevansky SP. PT-symmetric representations of fermionic algebras Physical Review a - Atomic, Molecular, and Optical Physics. 84. DOI: 10.1103/Physreva.84.024102  0.343
2011 Bender CM, Fring A, Guenther U, Jones HF. Special issue on quantum physics with non-Hermitian operators Journal of Physics a: Mathematical and Theoretical. 45: 010201. DOI: 10.1088/1751-8113/45/1/010201  0.42
2011 Bender CM, Hook DW. Quantum tunneling as a classical anomaly Journal of Physics a: Mathematical and Theoretical. 44. DOI: 10.1088/1751-8113/44/37/372001  0.395
2011 Bender CM, Jones HF. Quantum counterpart of spontaneously broken classical PT symmetry Journal of Physics a: Mathematical and Theoretical. 44. DOI: 10.1088/1751-8113/44/1/015301  0.428
2011 Bender CM. PT-symmetric quantum field theory Aip Conference Proceedings. 1389: 642-645. DOI: 10.1063/1.3636813  0.335
2011 Bender CM, Kalveks RJ. Extending PT Symmetry from Heisenberg Algebra to E2 Algebra International Journal of Theoretical Physics. 50: 955-962. DOI: 10.1007/S10773-010-0511-2  0.364
2010 Bender CM, Klevansky SP. Families of particles with different masses in PT-symmetric quantum field theory. Physical Review Letters. 105: 031601. PMID 20867756 DOI: 10.1103/Physrevlett.105.031601  0.421
2010 Bender CM, Hook DW, Meisinger PN, Wang QH. Complex correspondence principle. Physical Review Letters. 104: 061601. PMID 20366810 DOI: 10.1103/Physrevlett.104.061601  0.574
2010 Bender CM, Mannheim PD. PT symmetry and necessary and sufficient conditions for the reality of energy eigenvalues Physics Letters, Section a: General, Atomic and Solid State Physics. 374: 1616-1620. DOI: 10.1016/J.Physleta.2010.02.032  0.376
2010 Bender CM, Hook DW, Meisinger PN, Wang Q. Probability density in the complex plane Annals of Physics. 325: 2332-2362. DOI: 10.1016/J.Aop.2010.02.011  0.573
2009 Bender CM, Benincasa G, Jones HF. Comment on "new ansatz for metric operator calculation in pseudo-Hermitian field theory", Physical Review D - Particles, Fields, Gravitation and Cosmology. 80. DOI: 10.1103/Physrevd.80.128701  0.38
2009 Bender CM, Besseghir K, Jones HF, Yin X. Small-ε behavior of the non-Hermitian PT-symmetric Hamiltonian H = p2 + x2(ix)ε Journal of Physics a: Mathematical and Theoretical. 42. DOI: 10.1088/1751-8113/42/35/355301  0.372
2009 Bender CM, Klevansky SP. Nonunique C operator in PT quantum mechanics Physics Letters, Section a: General, Atomic and Solid State Physics. 373: 2670-2674. DOI: 10.1016/J.Physleta.2009.05.066  0.335
2009 Arpornthip T, Bender CM. Conduction bands in classical periodic potentials Pramana - Journal of Physics. 73: 259-267. DOI: 10.1007/S12043-009-0117-5  0.309
2008 Bender CM, Mannheim PD. No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model. Physical Review Letters. 100: 110402. PMID 18517762 DOI: 10.1103/Physrevlett.100.110402  0.39
2008 Bender CM, Ben-Naim E. Nonlinear-integral-equation construction of orthogonal polynomials Journal of Nonlinear Mathematical Physics. 15: 73-80. DOI: 10.2991/Jnmp.2008.15.S3.8  0.352
2008 Bender CM, Mannheim PD. Exactly solvable PT-symmetric Hamiltonian having no Hermitian counterpart Physical Review D - Particles, Fields, Gravitation and Cosmology. 78. DOI: 10.1103/Physrevd.78.025022  0.429
2008 Bender CM, Brody DC, Hook DW. Quantum effects in classical systems having complex energy Journal of Physics a: Mathematical and Theoretical. 41: 352003. DOI: 10.1088/1751-8113/41/35/352003  0.397
2008 Bender CM, Mannheim PD. Giving up the ghost Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/30/304018  0.435
2008 Bender CM, Jones HF. Interactions of Hermitian and non-Hermitian Hamiltonians Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/24/244006  0.388
2008 Bender CM, Hook DW. Exact isospectral pairs of PT symmetric Hamiltonians Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/24/244005  0.433
2008 Bender CM, Feinberg J. Does the complex deformation of the Riemann equation exhibit shocks? Journal of Physics a: Mathematical and Theoretical. 41. DOI: 10.1088/1751-8113/41/24/244004  0.344
2007 Bender CM, Brody DC, Jones HF, Meister BK. Faster than Hermitian quantum mechanics. Physical Review Letters. 98: 040403. PMID 17358747 DOI: 10.1103/Physrevlett.98.040403  0.396
2007 Bender CM. Faster than Hermitian time evolution Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 3. DOI: 10.3842/Sigma.2007.126  0.416
2007 Bender CM, Brody DC, Chen JH, Furlan E. PT-symmetric extension of the Korteweg-de Vries equation Journal of Physics a: Mathematical and Theoretical. 40. DOI: 10.1088/1751-8113/40/5/F02  0.572
2007 Bender CM, Ben-Naim E. Nonlinear integral-equation formulation of orthogonal polynomials Journal of Physics a: Mathematical and Theoretical. 40. DOI: 10.1088/1751-8113/40/1/F02  0.35
2007 Bender CM. Making sense of non-Hermitian Hamiltonians Reports On Progress in Physics. 70: 947-1018. DOI: 10.1088/0034-4885/70/6/R03  0.466
2007 Bender CM, Bender MA. Optimal shape of a blob Journal of Mathematical Physics. 48. DOI: 10.1063/1.2752008  0.311
2007 Bender CM, Darg DW. Spontaneous breaking of classical PT symmetry Journal of Mathematical Physics. 48. DOI: 10.1063/1.2720279  0.368
2006 Bender CM, Brody DC, Chen JH, Jones HF, Milton KA, Ogilvie MC. Equivalence of a complex PT-symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly Physical Review D - Particles, Fields, Gravitation and Cosmology. 74. DOI: 10.1103/Physrevd.74.025016  0.64
2006 Bender CM, Brody DC, Jones HF. Semiclassical analysis of a complex quartic Hamiltonian Physical Review D - Particles, Fields, Gravitation and Cosmology. 73. DOI: 10.1103/Physrevd.73.025002  0.413
2006 Bender CM, Tan B. Calculation of the hidden symmetry operator for a PT-symmetric square well Journal of Physics a: Mathematical and General. 39: 1945-1953. DOI: 10.1088/0305-4470/39/8/011  0.417
2006 Bender CM, Chen JH, Milton KA. PT-symmetric versus Hermitian formulations of quantum mechanics Journal of Physics a: Mathematical and General. 39: 1657-1668. DOI: 10.1088/0305-4470/39/7/010  0.638
2006 Bender CM. Four easy pieces Journal of Physics a: Mathematical and General. 39: 9993-10012. DOI: 10.1088/0305-4470/39/32/S04  0.468
2006 Bender CM, Chen JH, Darg DW, Milton KA. Classical trajectories for complex Hamiltonians Journal of Physics a: Mathematical and General. 39: 4219-4238. DOI: 10.1088/0305-4470/39/16/009  0.625
2006 Bender CM. Parity anomaly in a PT -symmetric quartic Hamiltonian Czechoslovak Journal of Physics. 56: 1047-1062. DOI: 10.1007/S10582-006-0399-5  0.381
2005 Bender CM. Non-Hermitian quantum field theory International Journal of Modern Physics A. 20: 4646-4652. DOI: 10.1142/S0217751X05028326  0.451
2005 Bender CM, Brandt SF, Chen JH, Wang Q. The C operator in PT -symmetric quantum field theory transforms as a Lorentz scalar Physical Review D - Particles, Fields, Gravitation and Cosmology. 71: 1-7. DOI: 10.1103/Physrevd.71.065010  0.681
2005 Bender CM, Brody DC, Jones HF. Erratum: Extension ofPT-symmetric quantum mechanics to quantum field theory with cubic interaction [Phys. Rev. D70, 025001 (2004)] Physical Review D. 71. DOI: 10.1103/Physrevd.71.049901  0.412
2005 Bender CM, Brandt SF, Chen JH, Wang Q. Ghost busting: PT-symmetric interpretation of the Lee model Physical Review D - Particles, Fields, Gravitation and Cosmology. 71: 025014-1-025014-11. DOI: 10.1103/Physrevd.71.025014  0.72
2005 Bender CM, Brody DC, Meister BK. Unusual quantum states: Non-locality, entropy, Maxwell's demon and fractals Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 461: 733-753. DOI: 10.1098/Rspa.2004.1351  0.323
2005 Ahmed Z, Bender CM, Berry MV. Reflectionless potentials and PT symmetry Journal of Physics a: Mathematical and General. 38. DOI: 10.1088/0305-4470/38/39/L01  0.426
2005 Bender CM, Brody DC, Hook DW. Solvable model of quantum microcanonical states Journal of Physics a: Mathematical and General. 38. DOI: 10.1088/0305-4470/38/38/L01  0.386
2005 Bender CM, Monou M. New quasi-exactly solvable sextic polynomial potentials Journal of Physics a: Mathematical and General. 38: 2179-2187. DOI: 10.1088/0305-4470/38/10/009  0.385
2005 Bender CM. Introduction to PT-symmetric quantum theory Contemporary Physics. 46: 277-292. DOI: 10.1080/00107500072632  0.461
2005 Bender CM, Meisinger PN, Wang Q. Wilson polynomials and the Lorentz transformation properties of the parity operator Journal of Mathematical Physics. 46. DOI: 10.1063/1.1870733  0.582
2005 Bender CM, Jones HF, Rivers RJ. Dual PT-symmetric quantum field theories Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 625: 333-340. DOI: 10.1016/J.Physletb.2005.08.087  0.451
2005 Bender CM, Cavero-Pelaez I, Milton KA, Shajesh KV. PT-symmetric quantum electrodynamics Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 613: 97-104. DOI: 10.1016/J.Physletb.2005.03.032  0.463
2005 Bender CM. Ghost busting: Making sense of non-Hermitian Hamiltonians Czechoslovak Journal of Physics. 55: 1067-1074. DOI: 10.1007/s10582-005-0107-x  0.361
2005 Bender CM. Ghost busting: Making sense of non-Hermitian Hamiltonians ∗ ) Czechoslovak Journal of Physics. 55: 55-66. DOI: 10.1007/978-4-431-73240-2_7  0.46
2004 Bender CM, Brody DC, Jones HF. Scalar quantum field theory with a complex cubic interaction. Physical Review Letters. 93: 251601. PMID 15697890 DOI: 10.1103/Physrevlett.93.251601  0.458
2004 Bender CM, Brody DC, Jones HF. Erratum: Complex Extension of Quantum Mechanics [Phys. Rev. Lett.89, 270401 (2002)] Physical Review Letters. 92. DOI: 10.1103/Physrevlett.92.119902  0.348
2004 Bender CM, Brody DC, Jones HF. Extension of PT-symmetric quantum mechanics to quantum field theory with cubic interaction Physical Review D - Particles, Fields, Gravitation and Cosmology. 70. DOI: 10.1103/Physrevd.70.025001  0.449
2004 Bender CM, Brod J, Refig A, Reuter ME. The Script C operator in Script PScript T-symmetric quantum theories Journal of Physics a: Mathematical and General. 37: 10139-10165. DOI: 10.1088/0305-4470/37/43/009  0.466
2004 Bender CM. Calculating the C operator in PT-symmetric quantum mechanics Czechoslovak Journal of Physics. 54: 1027-1038. DOI: 10.1023/B:Cjop.0000044001.97758.C7  0.442
2004 Bender CM. PT symmetry in quantum field theory Czechoslovak Journal of Physics. 54: 13-28. DOI: 10.1023/B:Cjop.0000014363.56526.41  0.463
2004 Bender CM, Jones HF. Semiclassical calculation of the C operator in PT-symmetric quantum mechanics Physics Letters, Section a: General, Atomic and Solid State Physics. 328: 102-109. DOI: 10.1016/J.Physleta.2004.05.063  0.426
2003 Bender CM. Properties of non-Hermitian quantum field theories Institute of Physics Conference Series. 173: 43-50. DOI: 10.5802/Aif.1971  0.447
2003 Bender CM, Brody DC, Jones HF. Must a Hamiltonian be Hermitian? American Journal of Physics. 71: 1095-1102. DOI: 10.1119/1.1574043  0.445
2003 Bender C. Greetings from the new Editor-in-Chief Journal of Physics a: Mathematical and General. 37. DOI: 10.1088/0305-4470/37/1/E01  0.333
2003 Bender CM, Meisinger PN, Wang Q. Calculation of the hidden symmetry operator in PT-symmetric quantum mechanics Journal of Physics a: Mathematical and General. 36: 1973-1983. DOI: 10.1088/0305-4470/36/7/312  0.587
2003 Bender CM, Meisinger PN, Wang Q. All Hermitian Hamiltonians have Parity Journal of Physics a: Mathematical and General. 36: 1029-1031. DOI: 10.1088/0305-4470/36/4/312  0.533
2003 Bender CM, Meisinger PN, Wang Q. Finite-dimensional ℘ script T sign-symmetric Hamiltonians Journal of Physics a: Mathematical and General. 36: 6791-6797. DOI: 10.1088/0305-4470/36/24/314  0.593
2002 Bender CM, Brody DC, Jones HF. Complex extension of quantum mechanics. Physical Review Letters. 89: 270401. PMID 12513185 DOI: 10.1103/Physrevlett.89.270401  0.449
2002 Bender CM, Brody DC, Meister BK. Entropy and temperature of a quantum Carnot engine Proceedings of the Royal Society a: Mathematical, Physical and Engineering Sciences. 458: 1519-1526. DOI: 10.1098/Rspa.2001.0928  0.359
2002 Bender CM, Berry MV, Mandilara A. Generalized PT symmetry and real spectra Journal of Physics a: Mathematical and General. 35: L467-L471. DOI: 10.1088/0305-4470/35/31/101  0.346
2002 Bender CM, Pelster A, Weissbach F. Boundary-layer theory, strong-coupling series, and large-order behavior Journal of Mathematical Physics. 43: 4202-4220. DOI: 10.1063/1.1490408  0.348
2002 Bender C, Boettcher S, Meisinger P, Wang Q. Two-point Green's function in -symmetric theories Physics Letters A. 302: 286-290. DOI: 10.1016/S0375-9601(02)01196-9  0.682
2001 Bender CM, Meisinger PN, Yang H. Calculation of the one-point Green's function for a -gf>4 quantum field theory Physical Review D. 63. DOI: 10.1103/Physrevd.63.045001  0.451
2001 Bender CM, Berry M, Meisinger PN, Savage VM, Simsek M. Complex WKB analysis of energy-level degeneracies of non-Hermitian Hamiltonians Journal of Physics a: Mathematical and General. 34: L31-L36. DOI: 10.1088/0305-4470/34/6/101  0.342
2001 Bender CM, Wang Q. A class of exactly-solvable eigenvalue problems Journal of Physics a: Mathematical and General. 34: 9835-9847. DOI: 10.1088/0305-4470/34/46/307  0.534
2001 Bender CM, Wang Q. Comment on a recent paper by Mezincescu Journal of Physics a: Mathematical and General. 34: 3325-3328. DOI: 10.1088/0305-4470/34/15/401  0.549
2001 Bender CM, Weniger EJ. Numerical evidence that the perturbation expansion for a non-Hermitian PT-symmetric Hamiltonian is Stieltjes Journal of Mathematical Physics. 42: 2167-2183. DOI: 10.1063/1.1362287  0.314
2001 Bender CM, Boettcher S, Jones HF, Meisinger PN. Double-scaling limit of a broken symmetry quantum field theory in dimensions D<2 Journal of Mathematical Physics. 42: 1960-1973. DOI: 10.1063/1.1361063  0.667
2001 Bender CM, Boettcher S, Jones HF, Meisinger PN, Simsek M. Bound states of non-Hermitian quantum field theories Physics Letters, Section a: General, Atomic and Solid State Physics. 291: 197-202. DOI: 10.1016/S0375-9601(01)00745-9  0.675
2001 Bender CM, Dunne GV, Meisinger PN, Şimşek M. Quantum complex Hénon–Heiles potentials Physics Letters A. 281: 311-316. DOI: 10.1016/S0375-9601(01)00146-3  0.34
2000 Bender CM, Milton KA, Savage VM. Solution of Schwinger-Dyson equations for PT-symmetric quantum field theory Physical Review D - Particles, Fields, Gravitation and Cosmology. 62: 1-13. DOI: 10.1103/Physrevd.62.085001  0.477
2000 Bender CM, Brody DC, Meister BK. Quantum mechanical Carnot engine Journal of Physics a: Mathematical and General. 33: 4427-4436. DOI: 10.1088/0305-4470/33/24/302  0.301
2000 Bender CM, Boettcher S, Savage VM. Conjecture on the interlacing of zeros in complex Sturm-Liouville problems Journal of Mathematical Physics. 41: 6381-6387. DOI: 10.1063/1.1288247  0.594
2000 Bender CM, Dunne GV, Mead LR. Underdetermined systems of partial differential equations Journal of Mathematical Physics. 41: 6388-6398. DOI: 10.1063/1.1287431  0.345
2000 Bender CM, Jones HF. Foundations of Physics. 30: 393-411. DOI: 10.1023/A:1003669706278  0.378
2000 Bender CM, Jones HF. Effective potential for ℘script T sign-symmetric quantum field theories Foundations of Physics. 30: 393-411.  0.306
1999 Bender CM, Milton KA. A nonunitary version of massless quantum electrodynamics possessing a critical point Journal of Physics a: Mathematical and General. 32. DOI: 10.1088/0305-4470/32/7/001  0.458
1999 Bender CM, Boettcher S, Jones HF, Savage VM. Complex square well - A new exactly solvable quantum mechanical model Journal of Physics a: Mathematical and General. 32: 6771-6781. DOI: 10.1088/0305-4470/32/39/305  0.676
1999 Bender CM, Mead LR. Dimensional expansion for the delta-function potential European Journal of Physics. 20: 117-121. DOI: 10.1088/0143-0807/20/2/010  0.316
1999 Bender CM, Dunne GV. Large-order perturbation theory for a non-Hermitian PT-symmetric Hamiltonian Journal of Mathematical Physics. 40: 4616-4621. DOI: 10.1063/1.532991  0.417
1999 Bender CM, Brody DC, Meister BK. Quantum field theory of partitions Journal of Mathematical Physics. 40: 3239-3245. DOI: 10.1063/1.532883  0.359
1999 Bender CM, Boettcher S, Meisinger PN. PT-symmetric quantum mechanics Journal of Mathematical Physics. 40: 2201-2229. DOI: 10.1063/1.532860  0.635
1999 Bender CM, Cooper F, Meisinger PN, Savage VM. Variational ansatz for -symmetric quantum mechanics Physics Letters A. 259: 224-231. DOI: 10.1016/S0375-9601(99)00468-5  0.347
1999 Bender CM. The complex pendulum Physics Report. 315: 27-40. DOI: 10.1016/S0370-1573(99)00024-1  0.449
1999 Bender CM, Boettcher S, Meisinger PN. PT-symmetric quantum mechanics Journal of Mathematical Physics. 40: 2201-2229.  0.33
1998 Bender CM, Boettcher S. Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry Physical Review Letters. 80: 5243-5246. DOI: 10.1103/Physrevlett.80.5243  0.661
1998 Bender CM, Milton KA. Model of supersymmetric quantum field theory with broken parity symmetry Physical Review D - Particles, Fields, Gravitation and Cosmology. 57: 3595-3608. DOI: 10.1103/Physrevd.57.3595  0.477
1998 Bender CM, Boettcher S. Quasi-exactly solvable quartic potential Journal of Physics a: Mathematical and General. 31. DOI: 10.1088/0305-4470/31/14/001  0.63
1998 Bender CM, Boettcher S. Real spectra in non-Hermitian Hamiltonians having PT symmetry Physical Review Letters. 80: 5243-5246.  0.333
1997 Bender CM, Milton KA. Nonperturbative calculation of symmetry breaking in quantum field theory Physical Review D - Particles, Fields, Gravitation and Cosmology. 55. DOI: 10.1103/Physrevd.55.R3255  0.428
1997 Bender CM, Dunne GV, Moshe M. Semiclassical analysis of quasiexact solvability Physical Review a - Atomic, Molecular, and Optical Physics. 55: 2625-2629. DOI: 10.1103/Physreva.55.2625  0.342
1997 Bender CM, Tovbis A. Continuum limit of lattice approximation schemes Journal of Mathematical Physics. 38: 3700-3717. DOI: 10.1063/1.532063  0.379
1996 Bender CM, Boettcher S, Meisinger PN. Spherically symmetric random walks. III. Polymer adsorption at a hyperspherical boundary. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 54: 127-135. PMID 9965054 DOI: 10.1103/Physreve.54.127  0.578
1996 Bender CM, Boettcher S, Meisinger PN. Spherically symmetric random walks. II. Dimensionally dependent critical behavior. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 54: 112-126. PMID 9965053 DOI: 10.1103/Physreve.54.112  0.608
1996 Bender CM, Cooper F, Meisinger PN. Spherically symmetric random walks. I. Representation in terms of orthogonal polynomials. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 54: 100-111. PMID 9965052 DOI: 10.1103/Physreve.54.100  0.387
1996 Bender CM, Bettencourt LMA. Multiple-scale analysis of the quantum anharmonic oscillator Physical Review Letters. 77: 4114-4117. DOI: 10.1103/Physrevlett.77.4114  0.431
1996 Bender CM, Bettencourt LMA. Multiple-scale analysis of quantum systems Physical Review D - Particles, Fields, Gravitation and Cosmology. 54: 7710-7723. DOI: 10.1103/Physrevd.54.7710  0.427
1996 Bender CM, Vinson JP. Summation of power series by continued exponentials Journal of Mathematical Physics. 37: 4103-4119. DOI: 10.1063/1.531619  0.325
1996 Bender CM, Dunne GV. Quasi-exactly solvable systems and orthogonal polynomials Journal of Mathematical Physics. 37: 6-11. DOI: 10.1063/1.531373  0.403
1995 Bender CM, Boettcher S, Meisinger PN. Universality in random-walk models with birth and death. Physical Review Letters. 75: 3210-3213. PMID 10059527 DOI: 10.1103/Physrevlett.75.3210  0.593
1995 Bender CM, Boettcher S. Eleventh-order calculation of Ising-limit Green's functions for scalar quantum field theory in arbitrary space-time dimension D. Physical Review D: Particles and Fields. 51: 1875-1879. PMID 10018654 DOI: 10.1103/Physrevd.51.1875  0.627
1995 Bender CM, Feinberg J. Eigenvalue integrodifferential equations for orthogonal polynomials on the real line Journal of Mathematical Physics. 36: 3106-3125. DOI: 10.1063/1.531016  0.36
1994 Bender CM, Duncan A, Jones HF. Convergence of the optimized δ expansion for the connected vacuum amplitude: Zero dimensions Physical Review D. 49: 4219-4225. DOI: 10.1103/Physrevd.49.4219  0.357
1994 Bender CM, Boettcher S, Moshe M. Spherically symmetric random walks in noninteger dimension Journal of Mathematical Physics. 35: 4941-4963. DOI: 10.1063/1.530824  0.608
1994 Bender CM, Boettcher S, Mead LR. Random walks in noninteger dimension Journal of Mathematical Physics. 35: 368-388. DOI: 10.1063/1.530778  0.59
1994 Bender CM, Boettcher S, Mead LR. Random walks in noninteger dimension Journal of Mathematical Physics. 35: 368-388. DOI: 10.1063/1.530778  0.503
1994 Bender CM, Boettcher S. Determination of f(∞) from the asymptotic series for f(x) about x=0 Journal of Mathematical Physics. 35: 1914-1921. DOI: 10.1063/1.530577  0.573
1994 Bender CM, Mead LR, Milton KA. Discrete time quantum mechanics Computers and Mathematics With Applications. 28: 279-317. DOI: 10.1016/0898-1221(94)00198-7  0.452
1993 Bender CM, Pinsky S, Sande Bvd. Spontaneous symmetry breaking of (1+1)-dimensionalφ4theory in light-front field theory Physical Review D. 48: 816-821. PMID 10016310 DOI: 10.1103/Physrevd.48.816  0.338
1993 Bender CM, Boettcher S. Dimensional expansion for the Ising limit of quantum field theory. Physical Review D: Particles and Fields. 48: 4919-4923. PMID 10016144 DOI: 10.1103/Physrevd.48.4919  0.623
1992 Bender CM, Boettcher S, Lipatov L. Dimensional expansions. Physical Review Letters. 68: 3674-3677. PMID 10045768 DOI: 10.1103/PhysRevLett.68.3674  0.525
1992 Bender CM, Boettcher S, Lipatov L. Almost zero-dimensional quantum field theories. Physical Review D: Particles and Fields. 46: 5557-5573. PMID 10014947 DOI: 10.1103/Physrevd.46.5557  0.671
1992 Bender CM, Milton KA, Moshe M. delta expansion for local gauge theories. II. Nonperturbative calculation of the anomaly in the Schwinger model. Physical Review D: Particles and Fields. 45: 1261-1275. PMID 10014498 DOI: 10.1103/Physrevd.45.1261  0.418
1992 Bender CM, Cooper F, Milton KA, Moshe M, Pinsky SS, Simmons LM. delta expansion for local gauge theories. I. A one-dimensional model. Physical Review D: Particles and Fields. 45: 1248-1260. PMID 10014497 DOI: 10.1103/Physrevd.45.1248  0.409
1992 Bender CM, Boettcher S, Milton KA. delta expansion applied to quantum electrodynamics. Physical Review D: Particles and Fields. 45: 639-653. PMID 10014417 DOI: 10.1103/Physrevd.45.639  0.635
1992 Rivers RJ, Wong CC, Bender CM. Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization. Physical Review D: Particles and Fields. 45: 4600-4609. PMID 10014371 DOI: 10.1103/Physrevd.45.4600  0.381
1992 Bender CM, Milton KA, Moshe M. I expansion for local gauge theories. ii. Nonperturbative calculation of the anomaly in the Schwinger model Physical Review D. 45: 1261-1275. DOI: 10.1103/PhysRevD.45.1261  0.338
1991 Bender CM, Dunne GV. Covariance of the gauge field in three-dimensional quantum electrodynamics Physical Review D. 44: 2565-2572. DOI: 10.1103/Physrevd.44.2565  0.394
1991 Bender CM, Boettcher S, Milton KA. A new perturbative approach to nonlinear partial differential equations Journal of Mathematical Physics. 32: 3031-3038. DOI: 10.1063/1.529047  0.592
1990 Bender CM, Rivers RJ, Wong CC. Derivative expansions for affinely quantized field theories. Physical Review D: Particles and Fields. 41: 455-467. PMID 10012351 DOI: 10.1103/Physrevd.41.455  0.377
1990 Bender CM, Rebhan A. Hot expansion Physical Review D. 41: 3269-3272. DOI: 10.1103/PhysRevD.41.3269  0.342
1990 Boettcher S, Bender CM. Nonperturbative square‐well approximation to a quantum theory Journal of Mathematical Physics. 31: 2579-2585. DOI: 10.1063/1.529006  0.629
1990 Bender CM, Milton KA, Pinsky SS, Simmons LM. δ expansion for a quantum field theory in the nonperturbative regime Journal of Mathematical Physics. 31: 2722-2725. DOI: 10.1063/1.528975  0.482
1990 Bender CM, Wu TT. Physical Review Letters: Statistical Analysis of Feynman Diagrams Current Physics–Sources and Comments. 7: 58-61. DOI: 10.1016/B978-0-444-88597-5.50015-6  0.563
1990 Bender CM, Wu TT. Anharmonic Oscillator. II. A Study of Perturbation Theory in Large Order Current Physics–Sources and Comments. 7: 41-57. DOI: 10.1016/B978-0-444-88597-5.50014-4  0.564
1990 Boettcher S, Bender CM. Nonperturbative square-well approximation to a quantum theory Journal of Mathematical Physics. 31: 2579-2585.  0.303
1989 Bender CM, Cooper F, Milton KA. The delta expansion and local gauge invariance. Physical Review D: Particles and Fields. 40: 1354-1355. PMID 10011947 DOI: 10.1103/Physrevd.40.1354  0.418
1989 Bender CM, Cooper F, Simmons LM. Nonunique solution to the Schwinger-Dyson equations. Physical Review D: Particles and Fields. 39: 2343-2349. PMID 9959916 DOI: 10.1103/Physrevd.39.2343  0.365
1989 Bender CM, Cooper F, Milton KA. The delta expansion for stochastic quantization. Physical Review D: Particles and Fields. 39: 3684-3689. PMID 9959628 DOI: 10.1103/Physrevd.39.3684  0.4
1989 Bender CM, Dunne GV. Integration of operator differential equations Physical Review D. 40: 3504-3511. DOI: 10.1103/Physrevd.40.3504  0.373
1989 Bender CM, Dunne GV. Exact solutions to operator differential equations Physical Review D. 40: 2739-2742. DOI: 10.1103/Physrevd.40.2739  0.36
1989 Bender CM, Cooper F, Milton KA. The expansion and local gauge invariance Physical Review D. 40: 1354-1355. DOI: 10.1103/PhysRevD.40.1354  0.314
1989 Bender CM, Milton KA, Pinsky SS, Simmons LM. A new perturbative approach to nonlinear problems Journal of Mathematical Physics. 30: 1447-1455. DOI: 10.1063/1.528326  0.395
1989 Bender CM. Nonperturbative perturbation theory Nuclear Physics B (Proceedings Supplements). 11: 316-324. DOI: 10.1016/0920-5632(89)90018-2  0.338
1988 Bender CM, Milton KA. New perturbative calculation of the fermion-boson mass ratio in a supersymmetric quantum field theory. Physical Review D: Particles and Fields. 38: 1310-1314. PMID 9959269 DOI: 10.1103/Physrevd.38.1310  0.395
1988 Bender CM, Milton KA, Moshe M, Pinsky SS, Simmons LM. Novel perturbative scheme in quantum field theory. Physical Review D: Particles and Fields. 37: 1472-1484. PMID 9958835 DOI: 10.1103/Physrevd.37.1472  0.416
1988 Bender CM, Jones HF. New nonperturbative calculation: Renormalization and the triviality of (4)4 field theory Physical Review D. 38: 2526-2529. DOI: 10.1103/Physrevd.38.2526  0.404
1988 Bender CM, Jones HF. Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory Journal of Mathematical Physics. 29: 2659-2665. DOI: 10.1063/1.528057  0.408
1988 Bender CM, Dunne GV. Polynomials and operator orderings Journal of Mathematical Physics. 29: 1727-1731. DOI: 10.1063/1.527869  0.303
1988 Bender CM, Milton KA, Pinsky SS, Simmons LM. A new perturbative approximation applied to supersymmetric quantum field theory Physics Letters B. 205: 493-498. DOI: 10.1016/0370-2693(88)90984-7  0.452
1988 Bender CM, Dunne GV. Exact operator solutions to Euler hamiltonians Physics Letters B. 200: 520-524. DOI: 10.1016/0370-2693(88)90163-3  0.358
1987 Bender CM, Milton KA, Moshe M, Pinsky SS, Simmons LM. Logarithmic approximations to polynomial Lagrangians. Physical Review Letters. 58: 2615-2618. PMID 10034800 DOI: 10.1103/Physrevlett.58.2615  0.432
1987 Bender CM, Cooper F, Milton KA, Pinsky SS, Simmons LM. Discrete-time quantum mechanics. III. Spin systems. Physical Review D: Particles and Fields. 35: 3081-3091. PMID 9957552 DOI: 10.1103/Physrevd.35.3081  0.399
1987 Bender CM, Mead LR, Pinsky SS. Continuous Hahn polynomials and the Heisenberg algebra Journal of Mathematical Physics. 28: 509-513. DOI: 10.1063/1.527635  0.335
1987 Bender CM, Mead LR, Papanicolaou N. Maximum entropy summation of divergent perturbation series Journal of Mathematical Physics. 28: 1016-1018. DOI: 10.1063/1.527593  0.351
1986 Bender CM, Mead LR, Pinsky SS. Resolution of the operator-ordering problem by the method of finite elements. Physical Review Letters. 56: 2445-2448. PMID 10032994 DOI: 10.1103/Physrevlett.56.2445  0.367
1986 Bender CM, Milton KA. Approximate determination of the mass gap in quantum field theory using the method of finite elements. Physical Review D: Particles and Fields. 34: 3149-3155. PMID 9957037 DOI: 10.1103/Physrevd.34.3149  0.426
1986 Bender CM, Simmons LM, Stong R. Matrix methods in discrete-time quantum mechanics. Physical Review D: Particles and Fields. 33: 2362-2366. PMID 9956910 DOI: 10.1103/Physrevd.33.2362  0.393
1986 Bender CM, Green ML. Accurate determination of spectra in discrete-time quantum mechanics Physical Review D. 34: 3255-3256. DOI: 10.1103/Physrevd.34.3255  0.389
1986 Bender CM, Milton KA. Approximate determination of the mass gap in quantum field theory using the method of finite elements Physical Review D. 34: 3149-3155. DOI: 10.1103/PhysRevD.34.3149  0.326
1985 Bender CM, Cooper F, O'Dell JE, Simmons aL Jr. Quantum tunneling using discrete-time operator difference equations. Physical Review Letters. 55: 901-903. PMID 10032478 DOI: 10.1103/Physrevlett.55.901  0.404
1985 Bender CM, Cooper F, Gutschick VP, Nieto MM. Simple approach to tunneling using the method of finite elements. Physical Review D: Particles and Fields. 32: 1486-1490. PMID 9956303 DOI: 10.1103/Physrevd.32.1486  0.334
1985 Bender CM, Milton KA, Sharp DH, Simmons LM, Stong R. Discrete-time quantum mechanics. Physical Review D: Particles and Fields. 32: 1476-1485. PMID 9956302 DOI: 10.1103/Physrevd.32.1476  0.371
1985 Bender CM, Milton KA, Sharp DH. Gauge invariance and the finite-element solution of the Schwinger model. Physical Review D: Particles and Fields. 31: 383-388. PMID 9955694 DOI: 10.1103/Physrevd.31.383  0.323
1985 Bender CM, Burchard PH, Das A, Lim HA, Shapiro JA. High-order strong-coupling calculation of the ground-state energy density in supersymmetric field theory Physical Review Letters. 54: 2481-2484. DOI: 10.1103/Physrevlett.54.2481  0.416
1985 Bender CM, Cooper F, Freedman B, Haymaker RW. Tunneling and the validity of the low-momentum expansion of the effective action Nuclear Physics, Section B. 256: 653-669. DOI: 10.1016/0550-3213(85)90413-4  0.364
1985 Bender CM, Das A, Lim HA, Simmons LM. Strong-coupling calculation of the mass ratio in supersymmetric field theory Physics Letters B. 154: 381-385. DOI: 10.1016/0370-2693(85)90413-7  0.389
1985 Nieto MM, Gutschick VP, Bender CM, Cooper F, Strottman D. Resonances in quantum mechanical tunneling Physics Letters B. 163: 336-342. DOI: 10.1016/0370-2693(85)90292-8  0.331
1985 Bender CM, Cooper F. Functional differential equation approach to the large N expansion and mean field perturbation theory Annals of Physics. 160: 323-342. DOI: 10.1016/0003-4916(85)90147-2  0.401
1984 Bender CM. Finite element approximation in quantum theory Physica a: Statistical Mechanics and Its Applications. 124: 91-101. DOI: 10.1016/0378-4371(84)90229-2  0.436
1984 Bender CM, Das A, Lim HA, Simmons LM. Strong-coupling approximation in supersymmetric field theory Physics Letters B. 134: 225-229. DOI: 10.1016/0370-2693(84)90676-2  0.411
1983 Bender CM, Milton KA, Sharp DH. Consistent formulation of fermions on a minkowski lattice Physical Review Letters. 51: 1815-1818. DOI: 10.1103/Physrevlett.51.1815  0.407
1983 Bender CM, Cooper F, Das A. Continuum Limit of Supersymmetric Field Theories on a Lattice Physical Review Letters. 50: 397-399. DOI: 10.1103/Physrevlett.50.397  0.447
1983 Bender CM, Sharp DH. Solution of operator field equations by the method of finite elements Physical Review Letters. 50: 1535-1538. DOI: 10.1103/Physrevlett.50.1535  0.333
1983 Bender CM, Mead LR, Simmons LM. Large-order behavior of lattice strong-coupling expansions Physical Review D. 28: 936-952. DOI: 10.1103/Physrevd.28.936  0.375
1983 Bender CM, Cooper F, Das A. New test for spontaneous breakdown of supersymmetry Physical Review D. 28: 1473-1480. DOI: 10.1103/Physrevd.28.1473  0.429
1983 Bender CM, Cooper F, Freedman B. A new strong-coupling expansion for quantum field theory based on the Langevin equation Nuclear Physics, Section B. 219: 61-80. DOI: 10.1016/0550-3213(83)90428-5  0.464
1983 Bender CM, Cooper F. Failure of the naïve loop expansion for the effective potential in φ4 field theory when there is "broken symmetry" Nuclear Physics, Section B. 224: 403-426. DOI: 10.1016/0550-3213(83)90383-8  0.392
1982 Bender CM, Roskies RZ. Effect of renormalization on the large-order behavior of weak- and strong-coupling perturbation theory Physical Review D. 25: 427-433. DOI: 10.1103/Physrevd.25.427  0.392
1982 Bender CM, Mlodinow LD, Papanicolaou N. Semiclassical perturbation theory for the hydrogen atom in a uniform magnetic field Physical Review A. 25: 1305-1314. DOI: 10.1103/Physreva.25.1305  0.346
1982 Bender CM, Williams DA. Lorentz transformation properties of nonconserved charges Journal of Mathematical Physics. 24: 990-995. DOI: 10.1063/1.525788  0.311
1982 Bender CM, Guralnik GS, Sharp DH. Finite element approximation in quantum field theory Nuclear Physics, Section B. 207: 54-76. DOI: 10.1016/0550-3213(82)90136-5  0.429
1982 Bender CM, Cooper F, Kenway RD, Simmons L. Problems with continuum regulation of strong-coupling expansions Physics Letters B. 109: 63-66. DOI: 10.1016/0370-2693(82)90464-6  0.397
1982 Bender CM. Perturbation theory in large order for some elementary systems International Journal of Quantum Chemistry. 21: 93-104. DOI: 10.1002/Qua.560210106  0.398
1981 Bender C, Cooper F, Kenway R, Simmons LM. Continuum regulation of the strong-coupling expansion for quantum field theory Physical Review D. 24: 2693-2705. DOI: 10.1103/Physrevd.24.2693  0.444
1981 Bender CM, Cooper F, Guralnik GS, Roskies R, Sharp DH. Higher-order terms in the strong-coupling expansion for the renormalized effective potential Physical Review D. 24: 2683-2692. DOI: 10.1103/Physrevd.24.2683  0.405
1981 Bender CM, Mead LR, Simmons LM. Strong-coupling expansion for the ground-state energy in the |x|± potential Physical Review D. 24: 2674-2682. DOI: 10.1103/Physrevd.24.2674  0.301
1981 Bender CM, Sharp DH. Solution of a general one-turning-point Schrödinger equation using lattice extrapolation techniques Physical Review D. 24: 1691-1694. DOI: 10.1103/Physrevd.24.1691  0.353
1981 Bender CM, Cooper F, Guralnik GS, Roskies R, Sharp DH. Numerical computation of the renormalized effective potential in the strong-coupling limit Physical Review D. 23: 2999-3009. DOI: 10.1103/Physrevd.23.2999  0.406
1981 Bender CM, Cooper F, Guralnik GS, Roskies R, Sharp DH. Strong-coupling expansion for the effective potential on a lattice Physical Review D. 23: 2976-2998. DOI: 10.1103/Physrevd.23.2976  0.394
1980 Bender CM, Cooper F, Guralnik GS, Moreno H, Roskies R, Sharp DH. Effective potential for a renormalized d-dimensional g4 field theory in the limit g Physical Review Letters. 45: 501-504. DOI: 10.1103/Physrevlett.45.501  0.331
1980 Bender CM, Cooper F, Guralnik GS, Mjolsness E, Rose HA, Sharp DH. A novel approach to the solution of boundary-layer problems Advances in Applied Mathematics. 1: 22-36. DOI: 10.1016/0196-8858(80)90004-4  0.323
1980 Bender CM, Cooper F, Guralnik G, Rose HA, Sharp DH. Strong coupling expansion for classical statistical dynamics Journal of Statistical Physics. 22: 647-660. DOI: 10.1007/Bf01013934  0.313
1979 Bender CM, Cooper F, Guralnik GS, Roskies R, Sharp DH. Improvement of an extrapolation scheme for strong-coupling expansion in quantum field theory Physical Review Letters. 43: 537-540. DOI: 10.1103/Physrevlett.43.537  0.414
1979 Bender CM, Guralnik GS, Silverstein ML. WKB approximation for quantum theory on a lattice Physical Review D. 20: 2583-2591. DOI: 10.1103/Physrevd.20.2583  0.434
1979 Bender CM, Cooper F, Guralnik GS, Sharp DH, Roskies R, Silverstein ML. Multilegged propagators in strong-coupling expansions Physical Review D. 20: 1374-1385. DOI: 10.1103/Physrevd.20.1374  0.441
1979 Bender CM, Cooper F, Guralnik GS, Sharp DH. Strong-coupling expansion in quantum field theory Physical Review D. 19: 1865-1881. DOI: 10.1103/Physrevd.19.1865  0.48
1978 Bender CM, Eguchi T, Pagels H. Gauge-fixing degeneracies and confinement in non-Abelian gauge theories Physical Review D. 17: 1086-1096. DOI: 10.1103/Physrevd.17.1086  0.431
1978 Bender CM, Caswell WE. Asymptotic graph counting techniques in ψ2N field theory Journal of Mathematical Physics. 19: 2579-2586. DOI: 10.1063/1.523612  0.322
1978 Bender CM. Perturbation theory in large order Advances in Mathematics. 30: 250-267. DOI: 10.1016/0001-8708(78)90039-7  0.475
1977 Bender CM, Olaussen K, Wang PS. Numerological analysis of the WKB approximation in large order Physical Review D. 16: 1740-1748. DOI: 10.1103/Physrevd.16.1740  0.37
1977 Bender CM, Keener RW, Zippel RE. New approach to the calculation of F1() in massless quantum electrodynamics Physical Review D. 15: 1572-1579. DOI: 10.1103/Physrevd.15.1572  0.315
1977 Bender CM, Cooper F, Guralnik GS. Path integral formulation of mean-field perturbation theory Annals of Physics. 109: 165-209. DOI: 10.1016/0003-4916(77)90169-5  0.39
1976 Bender CM, Wy TT. Statistical analysis of Feynman diagrams Physical Review Letters. 37: 117-120. DOI: 10.1103/Physrevlett.37.117  0.392
1976 Bender CM, Hays P. Zero-point energy of fields in a finite volume Physical Review D. 14: 2622-2632. DOI: 10.1103/Physrevd.14.2622  0.391
1976 Bender CM, Guralnik GS, Keener RW, Olaussen K. Numerical study of truncated Green's-function equations Physical Review D. 14: 2590-2595. DOI: 10.1103/Physrevd.14.2590  0.398
1975 Bender CM, Guralnik GS, Mandula JE. Meson decay in a theory of bound quarks Physical Review D. 11: 438-451. DOI: 10.1103/Physrevd.11.438  0.356
1975 Bender CM, Mandula JE, Guralnik GS. Self-consistent binding force between quarks in one dimension Physical Review D. 11: 429-437. DOI: 10.1103/Physrevd.11.429  0.32
1975 Bender CM, Mandula JE, Guralnik GS. Theories of permanently bound quarks Physical Review D. 11: 409-428. DOI: 10.1103/Physrevd.11.409  0.398
1974 Bender CM, Mandula JE, Guralnik GS. Permanently bound quarks-new solutions to old field equations Physical Review Letters. 32: 1467-1470. DOI: 10.1103/Physrevlett.32.1467  0.417
1974 Bender CM, Happ HJ, Svetitsky B. Numerical study of energy-level crossing Physical Review D. 9: 2324-2329. DOI: 10.1103/Physrevd.9.2324  0.312
1974 Bender CM, Nash C. Asymptotic freedom and the Lee model Physical Review D. 10: 1753-1759. DOI: 10.1103/Physrevd.10.1753  0.32
1973 Banks T, Bender CM, Wu TT. Coupled anharmonic oscillators. I. Equal-mass case Physical Review D. 8: 3346-3366. DOI: 10.1103/Physrevd.8.3346  0.708
1973 Bender CM, Wu TT. Anharmonic oscillator. II. a study of perturbation theory in large order Physical Review D. 7: 1620-1636. DOI: 10.1103/Physrevd.7.1620  0.598
1972 Banks TI, Bender CM. Anharmonic oscillator with polynomial self-interaction Journal of Mathematical Physics. 13: 1320-1324. DOI: 10.1063/1.1666140  0.667
1971 Bender CM, Wu TT. Large-order behavior of perturbation theory Physical Review Letters. 27: 461-465. DOI: 10.1103/Physrevlett.27.461  0.601
1971 Bender CM, Griffiths DJ. Covariant derivatives of infinite-dimensional fields Journal of Mathematical Physics. 12: 2151-2156. DOI: 10.1063/1.1665515  0.331
1970 Bender CM, Mandula JE, McCoy BM. Does Renormalized Perturbation Theory Diverge? Physical Review Letters. 24: 681-683. DOI: 10.1103/Physrevlett.24.681  0.631
1970 Bender CM, Griffiths DJ. Lorentz transformation laws of interacting radiation-gauge fields Physical Review D. 2: 317-323. DOI: 10.1103/Physrevd.2.317  0.354
1970 Bender CM, Griffiths DJ. Covariant energy density in free massless field theory Physical Review D. 1: 2335-2346. DOI: 10.1103/Physrevd.1.2335  0.337
1970 Bender CM. Generalized anharmonic oscillator Journal of Mathematical Physics. 11: 796-804. DOI: 10.1063/1.1665212  0.372
1968 Bender CM, Wu TT. Analytic structure of energy levels in a field-theory model Physical Review Letters. 21: 406-409. DOI: 10.1103/Physrevlett.21.406  0.562
1968 Bender CM. Free massless fields as infinite-dimensional representations of the lorentz group Physical Review. 168: 1809-1816. DOI: 10.1103/Physrev.168.1809  0.325
1966 Bender CM, McCoy BM. Peculiarities of a free massless spin-32 field theory Physical Review. 148: 1375-1380. DOI: 10.1103/Physrev.148.1375  0.359
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