1.8k citations · 6.6k across the 123 of their papers we have counts for
5 papers · 2 filters
Hamiltonian statistical mechanics
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
A framework for statistical-mechanical analysis of quantum Hamiltonians is introduced. The approach is based upon a gradient flow equation in the space of Hamiltonians such that th…
Optimal Time Evolution for Hermitian and Non-Hermitian Hamiltonians
Carl M. Bender, Dorje C. Brody
Consider the set of all Hamiltonians whose largest and smallest energy eigenvalues, E_max and E_min, differ by a fixed energy ω. Given two quantum states, an initial state |ψ_I> an…
Symplectic approach to quantum constraints
Dorje C. Brody, Anna C. T. Gustavsson, Lane P. Hughston
A general prescription for the treatment of constrained quantum motion is outlined. We consider in particular constraints defined by algebraic submanifolds of the quantum state spa…
Comment on the Quantum Brachistochrone Problem
C. M. Bender, D. C. Brody, H. F. Jones +1
In this brief comment we attempt to clarify the apparent discrepancy between the papers [1] and [2] on the quantum brachistochrone, namely whether it is possible to use a judicious…
Comment on "Typicality for Generalized Microcanonical Ensemble"
Dorje C. Brody
The validity of the so-called "typicality" argument for a generalised microcanonical ensemble proposed recently is examined.