Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

The formulation of quantum mechanics in terms of phase space functions

D. B. Fairliea1

a1 St Salvator's College, St Andrews


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.

(Received November 09 1963)