401 citations · 1.2k across the 62 of their papers we have counts for
6 papers · 1 filter
Thermalisation of Quantum States
D. C. Brody, L. P. Hughston
An exact stochastic model for the thermalisation of quantum states is proposed. The model has various physically appealing properties. The dynamics are characterised by an underlyi…
The Quantum Canonical Ensemble
D. C. Brody, L. P. Hughston
The phase space of quantum mechanics can be viewed as the complex projective space endowed with a Kaehlerian structure given by the Fubini-Study metric and an associated symplectic…
Geometrisation of Statistical Mechanics
Dorje C. Brody, Lane P. Hughston
Classical and quantum statistical mechanics are cast here in the language of projective geometry to provide a unified geometrical framework for statistical physics. After reviewing…
Generalised Heisenberg Relations
Dorje C. Brody, Lane P. Hughston
A geometric framework for quantum statistical estimation is used to establish a series of higher order corrections to the Heisenberg uncertainty relations associated with pairs of…
Geometry of Thermodynamic States
Dorje C. Brody, Lane P. Hughston
A novel geometric formalism for statistical estimation is applied here to the canonical distribution of classical statistical mechanics. In this scheme thermodynamic states, or equ…
Statistical Geometry in Quantum Mechanics
Dorje C. Brody, Lane P. Hughston
A statistical model M is a family of probability distributions, characterised by a set of continuous parameters known as the parameter space. This possesses natural geometrical pro…