Quantum-mechanical distribution functions: Conditions for uniqueness

Document Type

Article

Publication Date

5-25-1981

Abstract

We add to the postulate, that the distribution function give the proper probabilities for the position and momentum variables (actually only the former is needed) and that its connection with the wave function which it represents have the natural invariances, another one. This is that the integral of the product of two distribution functions be equal, except for a universal constant (which turns out to be 2πh{stroke}), to the transition probability between the two states they represent. We then show that it follows from these conditions that the distribution function is the one defined earlier by one of us (E.W.). © 1981.

Publication Source (Journal or Book title)

Physics Letters A

First Page

145

Last Page

148

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