24 citations · 55 across the 6 of their papers we have counts for
5 papers · 1 filter
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…
Quantum noise and stochastic reduction
Dorje C. Brody, Lane P. Hughston
In standard nonrelativistic quantum mechanics the expectation of the energy is a conserved quantity. It is possible to extend the dynamical law associated with the evolution of a q…
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,…
Microcanonical distributions for quantum systems
Dorje C Brody, Daniel W Hook, Lane P Hughston
The standard assumption for the equilibrium microcanonical state in quantum mechanics, that the system must be in one of the energy eigenstates, is weakened so as to allow superpos…
Twistor cosmology and quantum space-time
Dorje C. Brody, Lane. P. Hughston
The purpose of this paper is to present a model of a quantum space-time in which the global symmetries of space-time are unified in a coherent manner with the internal symmetries a…