54 citations · 103 across the 5 of their papers we have counts for
6 papers
Conjecture on the analyticity of PT-symmetric potentials and the reality of their spectra
Carl M Bender, Daniel W Hook, Lawrence R Mead
The spectrum of the Hermitian Hamiltonian is real and discrete if the potential as . However, if is complex and PT-symmetric, it…
Exact Isospectral Pairs of PT-Symmetric Hamiltonians
Carl M. Bender, Daniel W. Hook
A technique for constructing an infinite tower of pairs of PT-symmetric Hamiltonians, and (n=2,3,4,...), that have exactly the same eigenvalues is described…
Complexified Dynamical Systems
Carl M. Bender, Darryl D. Holm, Daniel W. Hook
Many dynamical systems, such as the Lotka-Volterra predator-prey model and the Euler equations for the free rotation of a rigid body, are PT symmetric. The standard and well-known…
Unitarity, ergodicity, and quantum thermodynamics
Dorje C. Brody, Daniel W. Hook, Lane P. Hughston
This paper is concerned with the ergodic subspaces of the state spaces of isolated quantum systems. We prove a new ergodic theorem for closed quantum systems which shows that the e…
On quantum microcanonical equilibrium
Dorje C. Brody, Daniel W. Hook, Lane P. Hughston
A quantum microcanonical postulate is proposed as a basis for the equilibrium properties of small quantum systems. Expressions for the corresponding density of states are derived,…
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…