The Wigner Distribution

Details The Wigner Distribution The Wigner Distribution

2010-09-22

arxiv.org/abs/1009.4431v1

in "Compendium of Quantum Physics", edited by D.Greenberger, K. Hentschel and F.Weinert (Springer 2009)

Physics

Quantum Physics

Scientific paper

In contrast to classical physics, the language of quantum mechanics involves operators and wave functions (or, more generally, density operators). However, in 1932, Wigner formulated quantum mechanics in terms of a distribution function $W(q,p)$, the marginals of which yield the correct quantum probabilities for $q$ and $p$ separately \cite{wigner}. Its usefulness stems from the fact that it provides a re-expression of quantum mechanics in terms of classical concepts so that quantum mechanical expectation values are now expressed as averages over phase-space distribution functions. In other words, statistical information is transferred from the density operator to a quasi-classical (distribution) function.

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