SOME EXTENSIONS OF SEMICLASSICAL LIMIT H-]0 FOR WIGNER FUNCTIONS ON PHASE-SPACE

The semiclassical asymptotics of the unitary quantum propagator applied to the Wigner functions, which are associated with the initial quantum state belonging to Schwartz class, are considered herein. The limit ℏ → 0 of the semiclassical asymptotics of these Wigner functions is investigated. As a consequence of this result, there exists a simple semiclassical asymptotic, which obeys the unitary conservation law over any finite time interval [0,T]. © 1995 American Institute of Physics.