Star-product of generalized Wigner-Weyl symbols on SU(2) group, deformations, and tomographic probability distribution

Authors
Man'ko, OV Man'ko, VI Marmo, G
Citation
Ov. Man'Ko et al., Star-product of generalized Wigner-Weyl symbols on SU(2) group, deformations, and tomographic probability distribution, PHYS SCR, 62(6), 2000, pp. 446-452
Citations number
30
Categorie Soggetti
Physics
Journal title
PHYSICA SCRIPTA
ISSN journal
02811847 → ACNP
Volume
62
Issue
6
Year of publication
2000
Pages
446 - 452
Database
ISI
SICI code
0281-1847(200012)62:6<446:SOGWSO>2.0.ZU;2-J
Abstract
Relations of different star-products are studied for the SU(2) group - the standard one and the tomographic one (which is introduced in employment of a tomographic map for spin states). A deformed star-product commutator ("qu antum" k-Poisson bracket) is introduced for functions on compact SU(2) grou p using the deformed star-product.