Quantum dynamics via a time propagator in Wigner's phase space

Michael Grønager, Niels Engholm Henriksen

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Abstract

We derive an expression for a short-time phase space propagator. We use it in a new propagation scheme and demonstrate that it works for a Morse potential. The propagation scheme is used to propagate classical distributions which do not obey the Heisenberg uncertainty principle. It is shown that the simple classical deterministic motion breaks down surprisingly fast in an anharmonic potential. Finally, we discuss the possibility of using the scheme as a useful approach to quantum dynamics in many dimensions. To that end we present a Monte Carlo integration scheme using the norm of the propagator as a part of the sampling function. ©1995 American Institute of Physics.
Original languageEnglish
JournalJournal of Chemical Physics
Volume102
Issue number13
Pages (from-to)5387-5395
ISSN0021-9606
DOIs
Publication statusPublished - 1995

Bibliographical note

Copyright (1995) by the American Physical Society.

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