Semiclassical mechanics for time-dependent Wigner functions

Sam L Robinson

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


An explicit and computable asymptotic integral representation is obtained for the time-dependent Wigner distribution associated with the initial quantum state ψ(x,0) = f(x) eiS(x)/ℏ in the semiclassical (ℏ → 0) limit. The approximations are valid to arbitrarily high order in ℏ over any finite time interval. The leading order term is further analyzed to obtain a classically determined phase space function which is related to a classical probability density on phase space. The results hold for a large class of time-dependent potentials.

Original languageEnglish (US)
Pages (from-to)2185-2205
Number of pages21
JournalJournal of Mathematical Physics
Issue number6
StatePublished - Jan 1 1993
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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