The Wigner-Weyl transformation and the quantum path integral
Journal Article
·
· Journal of Mathematical Physics
- LCAM, Bat. 351, Centre Universitaire Paris-Sud, Orsay, 91405 (France)
We show that the space of quantum states for a spinless particle possesses a (trivial) fiber bundle structure BxF where B is the classical phase space. This geometric point of view allows us to define a 'quantum path integral' that connects quantum observables with their classical counterparts. We show that this path integral reduces in fact to the Wigner-Weyl transformation.
- OSTI ID:
- 20768758
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 47; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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