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/

180 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any innacuracies, 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
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  0.48
2016 Bender CM. PT symmetry in quantum physics: From a mathematical curiosity to optical experiments Europhysics News. 47: 18-20. DOI: 10.1051/epn/2016201  1
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  1
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  1
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  1
2015 Bender CM. PT-symmetric quantum theory Journal of Physics: Conference Series. 631. DOI: 10.1088/1742-6596/631/1/012002  1
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  1
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  1
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  1
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  1
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  0.48
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
2012 Bender CM. Upside-down potentials Journal of Physics: Conference Series. 343. DOI: 10.1088/1742-6596/343/1/012014  1
2012 Bender CM. PT quantum mechanics - Recent results Aip Conference Proceedings. 1479: 517-521. DOI: 10.1063/1.4756181  1
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  1
2012 Bender CM, Gianfreda M. Matrix representation of the time operator Journal of Mathematical Physics. 53. DOI: 10.1063/1.4729286  1
2012 Gair J, Yunes N, Bender CM. Resonances in extreme mass-ratio inspirals: Asymptotic and hyperasymptotic analysis Journal of Mathematical Physics. 53. DOI: 10.1063/1.3691226  1
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  1
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  1
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  1
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  1
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  1
2011 Bender CM. PT-symmetric quantum field theory Aip Conference Proceedings. 1389: 642-645. DOI: 10.1063/1.3636813  1
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  1
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  1
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  0.92
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  1
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  1
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  1
2009 Bender CM, Brody DC. Optimal time evolution for Hermitian and non-Hermitian Hamiltonians Lecture Notes in Physics. 789: 341-361. DOI: 10.1007/978-3-642-03174-8_12  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
2007 Bender CM. Faster than Hermitian time evolution Symmetry, Integrability and Geometry: Methods and Applications (Sigma). 3. DOI: 10.3842/SIGMA.2007.126  1
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  1
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  1
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  1
2007 Bender CM, Bender MA. Optimal shape of a blob Journal of Mathematical Physics. 48. DOI: 10.1063/1.2752008  1
2007 Bender CM, Darg DW. Spontaneous breaking of classical PT symmetry Journal of Mathematical Physics. 48. DOI: 10.1063/1.2720279  1
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  1
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  1
2006 Bender CM. Four easy pieces Journal of Physics a: Mathematical and General. 39: 9993-10012. DOI: 10.1088/0305-4470/39/32/S04  1
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  1
2005 Bender CM. Non-Hermitian quantum field theory International Journal of Modern Physics A. 20: 4646-4652. DOI: 10.1142/S0217751X05028326  1
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  1
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  1
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  1
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  1
2005 Bender CM. Introduction to PT-symmetric quantum theory Contemporary Physics. 46: 277-292. DOI: 10.1080/00107500072632  1
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  1
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  1
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  1
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  1
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  1
2004 Bender CM. PT symmetry in quantum field theory Czechoslovak Journal of Physics. 54: 13-28. DOI: 10.1023/B:CJOP.0000014363.56526.41  1
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  1
2003 Bender CM, Brody DC, Jones HF. Must a Hamiltonian be Hermitian? American Journal of Physics. 71: 1095-1102. DOI: 10.1119/1.1574043  1
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  1
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  1
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  1
2003 Bender CM, Brody DC, Meister BK. On powers of Bessel functions Journal of Mathematical Physics. 44: 309-314. DOI: 10.1063/1.1526940  1
2003 Bender CM. Properties of non-Hermitian quantum field theories Institute of Physics Conference Series. 173: 43-50.  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
2000 Bender CM, Jones HF. Effective potential for ℘script T sign-symmetric quantum field theories Foundations of Physics. 30: 393-411.  1
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  1
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  1
1999 Bender CM. The complex pendulum Physics Report. 315: 27-40.  1
1999 Bender CM, Boettcher S, Meisinger PN. PT-symmetric quantum mechanics Journal of Mathematical Physics. 40: 2201-2229.  1
1999 Bender CM, Dunne GV. Large-order perturbation theory for a non-Hermitian PT-symmetric Hamiltonian Journal of Mathematical Physics. 40: 4616-4621.  1
1999 Bender CM, Brody DC, Meister BK. Quantum field theory of partitions Journal of Mathematical Physics. 40: 3239-3245.  1
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  1
1998 Bender CM, Boettcher S. Real spectra in non-Hermitian Hamiltonians having PT symmetry Physical Review Letters. 80: 5243-5246.  1
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.  1
1997 Bender CM, Tovbis A. Continuum limit of lattice approximation schemes Journal of Mathematical Physics. 38: 3700-3717.  1
1997 Bender CM, Dunne GV, Moshe M. Semiclassical analysis of quasiexact solvability Physical Review a - Atomic, Molecular, and Optical Physics. 55: 2625-2629.  1
1997 Bender CM, Milton KA. Nonperturbative calculation of symmetry breaking in quantum field theory Physical Review D - Particles, Fields, Gravitation and Cosmology. 55.  1
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  1
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  1
1996 Bender CM, Vinson JP. Summation of power series by continued exponentials Journal of Mathematical Physics. 37: 4103-4119. DOI: 10.1063/1.531619  1
1996 Bender CM, Dunne GV. Quasi-exactly solvable systems and orthogonal polynomials Journal of Mathematical Physics. 37: 6-11. DOI: 10.1063/1.531373  1
1996 Bender CM, Bettencourt LMA. Multiple-scale analysis of quantum systems Physical Review D - Particles, Fields, Gravitation and Cosmology. 54: 7710-7723.  1
1996 Bender CM, Bettencourt LMA. Multiple-scale analysis of the quantum anharmonic oscillator Physical Review Letters. 77: 4114-4117.  1
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.  1
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  1
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  1
1995 Bender CM, Boettcher S. Eleventh-order calculation of Ising-limit Greens functions for scalar quantum field theory in arbitrary space-time dimension D Physical Review D. 51: 1875-1879. DOI: 10.1103/PhysRevD.51.1875  1
1995 Bender CM, Feinberg J. Eigenvalue integrodifferential equations for orthogonal polynomials on the real line Journal of Mathematical Physics. 36: 3106-3125.  1
1994 Bender CM, Milton KA. Scalar Casimir effect for a D-dimensional sphere Physical Review D. 50: 6547-6555. DOI: 10.1103/PhysRevD.50.6547  1
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  1
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.  1
1994 Bender CM, Milton KA. Continued fraction as a discrete nonlinear transform Journal of Mathematical Physics. 35: 364-367.  1
1994 Bender CM, Boettcher S, Moshe M. Spherically symmetric random walks in noninteger dimension Journal of Mathematical Physics. 35: 4941-4963.  1
1994 Bender CM, Boettcher S, Mead LR. Random walks in noninteger dimension Journal of Mathematical Physics. 35: 368-388.  1
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  1
1993 Bender CM, Turbiner A. Analytic continuation of eigenvalue problems Physics Letters A. 173: 442-446. DOI: 10.1016/0375-9601(93)90153-Q  1
1992 Bender CM, Boettcher S, Lipatov L. Dimensional expansions. Physical Review Letters. 68: 3674-3677. PMID 10045768 DOI: 10.1103/PhysRevLett.68.3674  1
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  1
1992 Bender CM, Boettcher S, Milton KA. delta expansion applied to quantum electrodynamics. Physical Review D: Particles and Fields. 45: 639-653. PMID 10014417  1
1992 Bender CM, Boettcher S, Milton KA. I expansion applied to quantum electrodynamics Physical Review D. 45: 639-653. DOI: 10.1103/PhysRevD.45.639  1
1992 Rivers RJ, Wong CC, Bender CM. Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization Physical Review D. 45: 4600-4609. DOI: 10.1103/PhysRevD.45.4600  1
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  1
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  1
1991 Bender CM, Boettcher S, Milton KA. A new perturbative approach to nonlinear partial differential equations Journal of Mathematical Physics. 32: 3031-3038.  1
1990 Bender CM, Rivers RJ, Wong CC. Derivative expansions for affinely quantized field theories Physical Review D. 41: 455-467. DOI: 10.1103/PhysRevD.41.455  1
1990 Bender CM, Rebhan A. Hot expansion Physical Review D. 41: 3269-3272. DOI: 10.1103/PhysRevD.41.3269  1
1990 Boettcher S, Bender CM. Nonperturbative square-well approximation to a quantum theory Journal of Mathematical Physics. 31: 2579-2585.  1
1989 Bender CM, Dunne GV. Integration of operator differential equations Physical Review D. 40: 3504-3511. DOI: 10.1103/PhysRevD.40.3504  1
1989 Bender CM, Dunne GV. Exact solutions to operator differential equations Physical Review D. 40: 2739-2742. DOI: 10.1103/PhysRevD.40.2739  1
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  1
1989 Bender CM, Cooper F, Milton KA. The expansion for stochastic quantization Physical Review D. 39: 3684-3689. DOI: 10.1103/PhysRevD.39.3684  1
1989 Bender CM, Cooper F, Simmons LM. Nonunique solution to the schwinger-dyson equations Physical Review D. 39: 2343-2349. DOI: 10.1103/PhysRevD.39.2343  1
1989 Bender CM. Nonperturbative perturbation theory Nuclear Physics B (Proceedings Supplements). 11: 316-324. DOI: 10.1016/0920-5632(89)90018-2  1
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  1
1988 Bender CM, Milton KA. New perturbative calculation of the fermion-boson mass ratio in a supersymmetric quantum field theory Physical Review D. 38: 1310-1314. DOI: 10.1103/PhysRevD.38.1310  1
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  1
1988 Bender CM, Jones HF. Evaluation of Feynman diagrams in the logarithmic approach to quantum field theory Journal of Mathematical Physics. 29: 2659-2665.  1
1988 Bender CM, Dunne GV. Polynomials and operator orderings Journal of Mathematical Physics. 29: 1727-1731.  1
1987 Bender CM, Mead LR, Papanicolaou N. Maximum entropy summation of divergent perturbation series Journal of Mathematical Physics. 28: 1016-1018.  1
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  1
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  1
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  1
1986 Goldstein HF, Bender CM. Relativistic brachistochrone Journal of Mathematical Physics. 27: 507-511.  1
1985 Bender CM, Cooper F, Gutschick VP, Nieto MM. Simple approach to tunneling using the method of finite elements Physical Review D. 32: 1486-1490. DOI: 10.1103/PhysRevD.32.1486  1
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  1
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  1
1984 Bender CM, Das A, Lim HA. On higher order computations in strong coupling Pramana. 23: 695-701. DOI: 10.1007/BF02894763  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
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  1
1982 Bender CM, Williams DA. Lorentz transformation properties of nonconserved charges Journal of Mathematical Physics. 24: 990-995.  1
1982 Turner L, Bender CM. Two-dimensional, steady-state diffusion of a passive scalar in a flow field Journal of Mathematical Physics. 24: 1630-1632.  1
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  1
1979 Bender CM, Ling KM. Tight upper and lower bounds on perturbation coefficients for anharmonic oscillators Physical Review D. 19: 3808-3810. DOI: 10.1103/PhysRevD.19.3808  1
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  1
1978 Bender CM. Perturbation theory in large order Advances in Mathematics. 30: 250-267. DOI: 10.1016/0001-8708(78)90039-7  1
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  1
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  1
1977 Bender CM, Caswell WE. Asymptotic graph counting techniques in ψ2N field theory Journal of Mathematical Physics. 19: 2579-2586.  1
1976 Bender CM, Wy TT. Statistical analysis of Feynman diagrams Physical Review Letters. 37: 117-120. DOI: 10.1103/PhysRevLett.37.117  1
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  1
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  1
1974 Bender CM, Nash C. Asymptotic freedom and the Lee model Physical Review D. 10: 1753-1759. DOI: 10.1103/PhysRevD.10.1753  1
1973 Banks T, Bender CM. Coupled anharmonic oscillators. II. Unequal-mass case Physical Review D. 8: 3366-3378. DOI: 10.1103/PhysRevD.8.3366  1
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  1
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  1
1972 Banks TI, Bender CM. Anharmonic oscillator with polynomial self-interaction Journal of Mathematical Physics. 13: 1320-1324. DOI: 10.1103/PhysRev.184.1231  1
1971 Bender CM, Wu TT. Large-order behavior of perturbation theory Physical Review Letters. 27: 461-465. DOI: 10.1103/PhysRevLett.27.461  1
1971 Amit DJ, Bender CM. Path-integral approach to the magnetic-impurity problem. I Physical Review B. 4: 3115-3124. DOI: 10.1103/PhysRevB.4.3115  1
1971 Bender CM, Griffiths DJ. Covariant derivatives of infinite-dimensional fields Journal of Mathematical Physics. 12: 2151-2156.  1
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  1
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  1
1970 Bender CM. Generalized anharmonic oscillator Journal of Mathematical Physics. 11: 796-804.  1
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  1
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  1
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  1
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