When is the wigner quasi-probability density non-negative?

It is shown that a necessary and sufficient condition for the Wigner quasi-probability density to be a true density is that the corresponding Schrödinger state function be the exponential of a quadratic polynomial.

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Bibliographic Details
Published in:Reports on mathematical physics 1974-10, Vol.6 (2), p.249-252
Main Author: Hudson, R.L.
Format: Article
Language:English
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Summary:It is shown that a necessary and sufficient condition for the Wigner quasi-probability density to be a true density is that the corresponding Schrödinger state function be the exponential of a quadratic polynomial.
ISSN:0034-4877
1879-0674
DOI:10.1016/0034-4877(74)90007-X