1.8k citations · 6.6k across the 123 of their papers we have counts for
9 papers · 1 filter
Quantum phase transitions without thermodynamic limits
Dorje C. Brody, Daniel W. Hook, Lane P. Hughston
A new microcanonical equilibrium state is introduced for quantum systems with finite-dimensional state spaces. Equilibrium is characterised by a uniform distribution on a level sur…
Exactly solvable quantum state reduction models with time-dependent coupling
Dorje C. Brody, Irene C. Constantinou, James D. C. Dear +1
A closed-form solution to the energy-based stochastic Schrodinger equation with a time-dependent coupling is obtained. The solution is algebraic in character, and is expressed dire…
Semiclassical analysis of a complex quartic Hamiltonian
Carl M. Bender, Dorje C. Brody, Hugh F. Jones
It is necessary to calculate the C operator for the non-Hermitian PT-symmetric Hamiltonian H=\half p^2+\halfμ^2x^2-λx^4 in order to demonstrate that H defines a consistent unitary…
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,…