The formulation of quantum mechanics in terms of phase space functions

Fairlie, D.B.

doi:10.1017/S0305004100038068

The formulation of quantum mechanics in terms of phase space functions

D.B. Fairlie
(
- St. Andrews U.
)

Mar, 1964

6 pages

Published in:

Math.Proc.Cambridge Phil.Soc. 60 (2008) 3, 581-586,
Proc.Cambridge Phil.Soc. 60 (1964) 581-586

Published: Oct 24, 2008

DOI:

10.1017/S0305004100038068

View in:

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Abstract: (Cambridge University Press)

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.

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