Quantum statistical mechanics in the coherent-state phase-space representation
- 1 April 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (8) , 3144-3150
- https://doi.org/10.1103/physreva.37.3144
Abstract
We present the extension to statistical mechanics of a mapping technique of the Wigner and Weyl kind, but based upon the coherent-state representation. The central theme is that of introducing an appropriate method for the evaluation of traces of unbounded operators.Keywords
This publication has 19 references indexed in Scilit:
- Quantum collision theory with phase-space distributionsReviews of Modern Physics, 1983
- The Wigner phase-space description of collision processesFoundations of Physics, 1983
- Quantum-mechanical distribution functions: Conditions for uniquenessPhysics Letters A, 1981
- Weyl Transform in Nonrelativistic Quantum DynamicsJournal of Mathematical Physics, 1968
- Weyl Transformation and the Classical Limit of Quantum MechanicsJournal of Mathematical Physics, 1968
- Wigner Method in Quantum Statistical MechanicsJournal of Mathematical Physics, 1967
- Wigner Representation of Quantum Operators and Its Applications to Electrons in a Magnetic FieldJournal of the Physics Society Japan, 1964
- The Formulation of Quantum Mechanics in terms of Ensemble in Phase SpaceProgress of Theoretical Physics, 1954
- Quantum mechanics as a statistical theoryMathematical Proceedings of the Cambridge Philosophical Society, 1949
- On the Quantum Correction For Thermodynamic EquilibriumPhysical Review B, 1932