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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…
Information of Interest
Dorje C. Brody, Robyn L. Friedman
A pricing formula for discount bonds, based on the consideration of the market perception of future liquidity risk, is established. An information-based model for liquidity is then…
Dequantisation of the Dirac Monopole
Dorje C. Brody
Using a sheaf-theoretic extension of conventional principal bundle theory, the Dirac monopole is formulated as a spherically symmetric model free of singularities outside the origi…
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…