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Classical fields as statistical states
Dorje C. Brody, Lane P. Hughston
We present a rough outline for an idea that characterises the observed, macroscopic realisation of the electromagnetic field in terms of a probability distribution on the underlyin…
Nonlinearity and constrained quantum motion
Dorje C. Brody, Anna C. T. Gustavsson, Lane P. Hughston
The dynamical equation satisfied by the density matrix, when a quantum system is subjected to one or more constraints arising from conserved quantities, is derived. The resulting n…
Metric approach to quantum constraints
Dorje C. Brody, Anna C. T. Gustavsson, Lane P. Hughston
A new framework for deriving equations of motion for constrained quantum systems is introduced, and a procedure for its implementation is outlined. In special cases the framework r…
Random Hamiltonian in thermal equilibrium
Dorje C. Brody, David C. P. Ellis, Darryl D. Holm
A framework for the investigation of disordered quantum systems in thermal equilibrium is proposed. The approach is based on a dynamical model--which consists of a combination of a…