The formulation of quantum mechanics in terms of phase space functions
- 1 July 1964
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 60 (3) , 581-586
- https://doi.org/10.1017/s0305004100038068
Abstract
A relationship between the Hamiltonian of a system and its distribution function in phase space is sought which will guarantee that the average energy is the weighted mean of the Hamiltonian over phase space. This relationship is shown to imply the existence of a wave function satisfying the Schrödinger equation, and dictates the possible forms of time-dependence of the distribution function.Keywords
This publication has 6 references indexed in Scilit:
- Formulation of Quantum Mechanics Based on the Quasi-Probability Distribution Induced on Phase SpacePhysical Review B, 1958
- The Formulation of Quantum Mechanics in terms of Ensemble in Phase SpaceProgress of Theoretical Physics, 1954
- The exact transition probabilities of quantum-mechanical oscillators calculated by the phase-space methodMathematical Proceedings of the Cambridge Philosophical Society, 1949
- Quantum mechanics as a statistical theoryMathematical Proceedings of the Cambridge Philosophical Society, 1949
- On the principles of elementary quantum mechanicsPhysica, 1946
- On the Quantum Correction For Thermodynamic EquilibriumPhysical Review B, 1932