The problem of moments in the phase-space formulation of quantum mechanics
- 1 December 1987
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 28 (12) , 2873-2882
- https://doi.org/10.1063/1.527687
Abstract
Long ago, Moyal [Proc. Cambridge Philos. Soc. 45, 99 (1949)] formulated a moment problem in the context of the Wigner–Weyl phase-space formulation of quantum mechanics. The problem amounts to giving necessary and sufficient conditions for a sequence of numbers to be moments of a Wigner function. In this paper, that problem is solved, and so is a truncated version of it.Keywords
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