24 citations · 26 across the 3 of their papers we have counts for
5 papers
Bernoulli-like polynomials associated with Stirling Numbers
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
The Stirling numbers of the first kind can be represented in terms of a new class of polynomials that are closely related to the Bernoulli polynomials. Recursion relations for thes…
Solvable model of quantum microcanonical states
Carl M Bender, Dorje C Brody, Daniel W Hook
This letter examines the consequences of a recently proposed modification of the postulate of equal {\it a priori} probability in quantum statistical mechanics. This modification,…
Quantised Three-Pillar Problem
Carl M. Bender, Dorje C. Brody, Bernhard K. Meister
This paper examines the quantum mechanical system that arises when one quantises a classical mechanical configuration described by an underdetermined system of equations. Specifica…
Massless quantum electrodynamics with a critical point
Carl M. Bender, Kimball A. Milton
Recently, it has been observed that a quantum field theory need not be Hermitian to have a real, positive spectrum. What seems to be required is symmetry under combined parity and…
Discrete Time Quantum Mechanics
Carl M. Bender, Lawrence R. Mead, Kimball A. Milton
This paper summarizes a research program that has been underway for a decade. The objective is to find a fast and accurate scheme for solving quantum problems which does not involv…