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List of works by Carl M. Bender

${ \mathcal P }{ \mathcal T }$-symmetric interpretation of unstable effective potentials

-symmetric extension of the Korteweg-de Vries equation

scientific article published on 17 January 2007

A new perturbative approach to nonlinear partial differential equations

Accurate determination of spectra in discrete-time quantum mechanics

scientific article published on 01 November 1986

Almost zero-dimensional quantum field theories

scientific article published on 01 December 1992

Approximate determination of the mass gap in quantum field theory using the method of finite elements

scientific article published on 01 November 1986

Asymptotic analysis on a pseudo-Hermitian Riemann-zeta Hamiltonian

scientific article published on 5 March 2018

Bound states of non-Hermitian quantum field theories

article by Carl M Bender et al published December 2001 in Physics Letters

Chaotic systems in complex phase space

Classical particle in a complex elliptic potential

Comment on ‘Numerical estimates of the spectrum for anharmonic PT symmetric potentials’

article

Complex Classical Motion in Potentials with Poles and Turning Points

Complex Correspondence Principle

scientific article published in Physical Review Letters

Complex Extension of Quantum Mechanics

scientific article published in Physical Review Letters

Complex elliptic pendulum

Complex square well - a new exactly solvable quantum mechanical model ⬇️

Complex trajectories of a simple pendulum

article by Carl M Bender et al published 20 December 2006 in Journal of Physics A

Complexified dynamical systems

Conjecture on the analyticity of {\cal PT} -symmetric potentials and the reality of their spectra

Conjecture on the interlacing of zeros in complex Sturm–Liouville problems

Convergence of the optimized delta expansion for the connected vacuum amplitude: Zero dimensions

scientific article published on 01 April 1994

Covariance of the gauge field in three-dimensional quantum electrodynamics

scientific article published on 01 October 1991

Derivative expansions for affinely quantized field theories

scientific article published on 01 January 1990

Derivative expansions for affinely quantized field theories. II. Scale-invariant quantization

scientific article published on 01 June 1992

Determination of f(∞) from the asymptotic series for f(x) about x=0

Dimensional expansion for the Ising limit of quantum field theory

scientific article published on 01 November 1993

Dimensional expansions

scientific article published in Physical Review Letters

Discrete-time quantum mechanics

scientific article published on 01 September 1985

Discrete-time quantum mechanics. II. Systems with several degrees of freedom

scientific article published on 01 March 1986

Discrete-time quantum mechanics. III. Spin systems

scientific article published on 01 May 1987

Double-scaling limit of a broken symmetry quantum field theory in dimensions D<2

article by Carl M. Bender et al published 2001 in Journal of Mathematical Physics

Eleventh-order calculation of Ising-limit Green’s functions for scalar quantum field theory in arbitrary space-time dimensionD

scientific article published on 01 February 1995

Entropy and temperature of a quantum Carnot engine

scientific article published on 8 June 2002

Equivalence of a complexPT-symmetric quartic Hamiltonian and a Hermitian quartic Hamiltonian with an anomaly

scientific article published on 24 July 2006

Erratum: Complex Extension of Quantum Mechanics [Phys. Rev. Lett.89, 270401 (2002)]

scientific article published on 18 March 2004

Erratum: Extension ofPT-symmetric quantum mechanics to quantum field theory with cubic interaction [Phys. Rev. D70, 025001 (2004)]

scientific article published on 25 February 2005

Erratum: Gauge invariance and the finite-element solution of the Schwinger model

scientific article published on 01 September 1985

Exact isospectral pairs of {\cal P}{\cal T} symmetric Hamiltonians

Exact solutions to operator differential equations

scientific article published on 01 October 1989

Extension ofPT-symmetric quantum mechanics to quantum field theory with cubic interaction

scientific article published on 15 July 2004

Families of Particles with Different Masses in PT-Symmetric Quantum Field Theory ⬇️

scientific article published on July 16, 2010

Faster than Hermitian Quantum Mechanics ⬇️

scientific article published on 24 January 2007

Gauge invariance and the finite-element solution of the Schwinger model

scientific article published on 01 January 1985

Geometric Aspects of Space-Time Reflection Symmetry in Quantum Mechanics

scientific article published in 2016

Hamiltonian for the Zeros of the Riemann Zeta Function ⬇️

scientific article published in Physical Review Letters

High-order strong-coupling calculation of the ground-state energy density in supersymmetric field theory

scientific article published on 01 June 1985

Hot delta expansion

scientific article published on 01 May 1990

Infinite class of PT-symmetric theories from one timelike Liouville Lagrangian ⬇️

scientific article published on 3 December 2014

Integration of operator differential equations

scientific article published in November 1989

Logarithmic approximations to polynomial Lagrangians

scientific article published on 01 June 1987

Loss-induced suppression and revival of lasing

scientific article

Making sense of non-Hermitian Hamiltonians

scholarly article

Matrix methods in discrete-time quantum mechanics

scientific article published on 01 April 1986

Multiple-Scale Analysis of the Quantum Anharmonic Oscillator

scientific article published on 01 November 1996

Multiple-scale analysis of quantum systems

scientific article published on 01 December 1996

Must a Hamiltonian be Hermitian?

scientific article published in November 2003

Negative-energy $\mathcal {P}\mathcal {T}$-symmetric Hamiltonians

New nonperturbative calculation: Renormalization and the triviality of ( lambda phi4)4 field theory

scientific article published on 01 October 1988

New perturbative calculation of the fermion-boson mass ratio in a supersymmetric quantum field theory

scientific article published on 01 August 1988

No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model

scientific article published on 18 March 2008

Nonperturbative square‐well approximation to a quantum theory

Nonunique solution to the Schwinger-Dyson equations

scientific article published in April 1989

Novel perturbative scheme in quantum field theory

scientific article published on 01 March 1988

On powers of Bessel functions

scientific article published in January 2003

Optimal Time Evolution for Hermitian and Non-Hermitian Hamiltonians

scientific article published in 2009

PT quantum mechanics ⬇️

scientific article published on March 18, 2013

PT-symmetric quantum mechanics ⬇️

scholarly article by Carl M. Bender et al published May 1999 in Journal of Mathematical Physics

PT-symmetric quantum state discrimination

scientific article published on 18 March 2013

Parity–time-symmetric whispering-gallery microcavities

Probability density in the complex plane

Quantum effects in classical systems having complex energy

Quantum mechanical Carnot engine

scientific article

Quantum tunneling as a classical anomaly

Quantum tunneling using discrete-time operator difference equations

scientific article published in August 1985

Quasi-exactly solvable quartic potential

Random walks in noninteger dimension

Real Spectra in Non-Hermitian Hamiltonians HavingPTSymmetry

scientific article published in Physical Review Letters

Resolution of the operator-ordering problem by the method of finite elements

scientific article published on 01 June 1986

Scalar Casimir effect for a D-dimensional sphere

scientific article published on 01 November 1994

Scalar Quantum Field Theory with a Complex Cubic Interaction

scientific article published on 13 December 2004

Semiclassical analysis of a complex quartic Hamiltonian

scientific article published on 5 January 2006

Semiclassical perturbation theory for the hydrogen atom in a uniform magnetic field

article published in 1982

Simple approach to tunneling using the method of finite elements

scientific article published on 01 September 1985

Solvable model of quantum microcanonical states

scientific article published on 7 September 2005

Spherically symmetric random walks in noninteger dimension

Spherically symmetric random walks. I. Representation in terms of orthogonal polynomials

scientific article published on 01 July 1996

Spherically symmetric random walks. II. Dimensionally dependent critical behavior

scientific article published on 01 July 1996

Spherically symmetric random walks. III. Polymer adsorption at a hyperspherical boundary

scientific article published on 01 July 1996

Spontaneous symmetry breaking of (1+1)-dimensional φ 4 theory in light-front field theory

scientific article

The delta expansion and local gauge invariance

scientific article published on 01 August 1989

The delta expansion for stochastic quantization

scientific article published on 01 June 1989

Two-Dimensional Pulse Propagation without Anomalous Dispersion

scientific article published on 15 September 2017

Two-point Green's function in -symmetric theories

Universal spectral behavior ofx2(ix)εpotentials

Universality in Random-Walk Models with Birth and Death

scientific article published on 01 October 1995

Unusual quantum states: non–locality, entropy, Maxwell's demon and fractals

scientific article published on 8 March 2005

delta expansion for local gauge theories. I. A one-dimensional model

scientific article published on 01 February 1992

delta expansion for local gauge theories. II. Nonperturbative calculation of the anomaly in the Schwinger model

scientific article published on 01 February 1992

δ expansion applied to quantum electrodynamics

scientific article published on 01 January 1992

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