Gaussian Wigner distributions: a complete characterization

Simon, R. ; Sudarshan, E. C. G. ; Mukunda, N. (1987) Gaussian Wigner distributions: a complete characterization Physics Letters A, 124 (4-5). pp. 223-228. ISSN 0375-9601

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Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0375-9601(87)90625-6

Abstract

Necessary and sufficient conditions on a gaussian phase space distribution to be a bona fide Wigner distribution, for any number of degrees of freedom, are derived. Williamson's theorem on the normal forms of positive matrices under symplectic transformations is used in a fundamental way.

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ID Code:78463
Deposited On:20 Jan 2012 04:10
Last Modified:20 Jan 2012 04:10

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