Some properties of a non-negative quantum-mechanical distribution function

Document Type

Article

Publication Date

9-21-1981

Abstract

We consider the distribution function obtained by smoothing the original distribution function, defined in an earlier publication, with a ground-state harmonic oscillator wave function. We derive its time dependence and show that, in particular, the field-free result does not correspond to the classical result. We point out that the non-negative property of the smoothed function follows immediately from the fact that the integral of the product of two of the original distribution functions is equal, except for a factor2π h {combining short stroke overlay}, to the transition probability between the two states they represent. © 1981.

Publication Source (Journal or Book title)

Physics Letters A

First Page

121

Last Page

126

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