When is the Wigner function of multidimensional systems nonnegative?
- 1 January 1983
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (1) , 97-100
- https://doi.org/10.1063/1.525607
Abstract
It is shown that, for systems with an arbitrary number of degrees of freedom, a necessary and sufficient condition for the Wigner function to be nonnegative is that the corresponding state wavefunction is the exponential of a quadratic form. This result generalizes the one obtained by Hudson [Rep. Math. Phys. 6, 249 (1974)] for one‐dimensional systems.Keywords
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