Non-existence of positive phase-space distribution functions in quantum mechanics

Martin, A. ; Roy, S. M. (1995) Non-existence of positive phase-space distribution functions in quantum mechanics Physics Letters B, 350 (1). pp. 66-69. ISSN 0370-2693

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/037026...

Related URL: http://dx.doi.org/10.1016/0370-2693(95)00246-H

Abstract

We show that in space dimension ≥2, there cannot exist a positive definite phase-space distribution function whose marginals coincide with the quantum position probability density, momentum probability density and joint probability densities of commuting components of position and momentum.

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