The Weyl-Wigner-Moyal formalism. III. The generalized Moyal product in thecurved phase space

Authors
Przanowski, M Tosiek, J
Citation
M. Przanowski et J. Tosiek, The Weyl-Wigner-Moyal formalism. III. The generalized Moyal product in thecurved phase space, ACT PHY P B, 30(2), 1999, pp. 179-201
Citations number
13
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
30
Issue
2
Year of publication
1999
Pages
179 - 201
Database
ISI
SICI code
0587-4254(199902)30:2<179:TWFITG>2.0.ZU;2-C
Abstract
Construction of the symplectic connection on phase space is proposed. This connection is in a sense defined by the Riemannian connection on the config uration space. The generalized Moyal product leading to the quantum multipl ication in the curved phase space is given.