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quant-ph2023★ 93 cited
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…
math-ph2023
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…
hep-th2023
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…