How Wigner Functions Transform Under Symplectic Maps

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dc.creatorDragt, Alex J.
dc.creatorHabib, Salman
dc.date1998-06-16
dc.date.accessioned2026-07-07T06:15:13Z
dc.date.available2026-07-07T06:15:13Z
dc.descriptionIt is shown that, while Wigner and Liouville functions transform in an identical way under linear symplectic maps, in general they do not transform identically for nonlinear symplectic maps. Instead there are ``quantum corrections'' whose hbar tending to zero limit may be very complicated. Examples of the behavior of Wigner functions in this limit are given in order to examine to what extent the corresponding Liouville densities are recovered.
dc.description8 pages, 6 figures [RevTeX/epsfig, macro included]. To appear in Proceedings of the Advanced Beam Dynamics Workshop on Quantum Aspects of Beam Physics (Monterey, CA 1998)
dc.identifierhttps://arxiv.org/abs/quant-ph/9806056
dc.identifierhttp://arxiv.org/abs/quant-ph/9806056
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93730
dc.subjectQuantum Physics
dc.titleHow Wigner Functions Transform Under Symplectic Maps
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