84 citations · 633 across the 31 of their papers we have counts for
6 papers · 1 filter
Complex phases in quantum mechanics
Carl M. Bender, Daniel W. Hook
Hamilton's equations of motion are local differential equations and boundary conditions are required to determine the solution uniquely. Depending on the choice of boundary conditi…
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,…
On optimum Hamiltonians for state transformations
Dorje C. Brody, Daniel W. Hook
For a prescribed pair of quantum states |psi_I> and |psi_F> we establish an elementary derivation of the optimum Hamiltonian, under constraints on its eigenvalues, that generates t…
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…
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…