Phys. Rev. A 75, 052107 (2007) [21 pages]Wigner functions of s wavesReceived 15 January 2007; published 11 May 2007 We derive explicit expressions for the Wigner function of wave functions in D dimensions which depend on the hyperradius—that is, of s waves. They are based either on the position or the momentum representation of the s wave. The corresponding Wigner function depends on three variables: the absolute value of the D-dimensional position and momentum vectors and the angle between them. We illustrate these expressions by calculating and discussing the Wigner functions of an elementary s wave and the energy eigenfunction of a free particle. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.75.052107
DOI:
10.1103/PhysRevA.75.052107
PACS:
03.65.Ca, 02.30.Uu, 42.50.−p
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