6.7k citations · 23.8k across the 157 of their papers we have counts for
158 papers
PT-symmetric quantum mechanics
Carl M. Bender, Daniel W. Hook
It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one that has a positive-definite spectrum and obeys the requirement of unitarity) must be Her…
Dyson-Schwinger equations in zero dimensions and polynomial approximations
Carl M. Bender, Christos Karapoulitidis, S. P. Klevansky
The Dyson-Schwinger (DS) equations for a quantum field theory in -dimensional space-time are an infinite sequence of coupled integro-differential equations that are satisfied ex…
New classes of solutions for Euclidean scalar field theories
Carl M. Bender, Sarben Sarkar
This paper presents new classes of exact radial solutions to the nonlinear ordinary differential equation that arises as a saddle-point condition for a Euclidean scalar field theor…
Underdetermined Dyson-Schwinger equations
Carl M. Bender, Christos Karapoulitidis, S. P. Klevansky
This paper examines the effectiveness of the Dyson-Schwinger (DS) equations as a calculational tool in quantum field theory. The DS equations are an infinite sequence of coupled eq…
Experimentally-realizable phase transitions in reflectionless quantum scattering
Micheline B. Soley, Carl M. Bender, A. Douglas Stone
A class of above-barrier quantum-scattering problems is shown to provide an experimentally-accessible platform for studying -symmetric Schrödinger equations that exhi…
-symmetric theory
Wen-Yuan Ai, Carl M. Bender, Sarben Sarkar
The scalar field theory with potential () is ill defined as a Hermitian theory but in a non-Hermitian $\math…