Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-15
Phys.Lett. A334 (2005) 1
Physics
High Energy Physics
High Energy Physics - Theory
14 pages, no figures
Scientific paper
10.1016/j.physleta.2004.11.027
A duality property for star products is exhibited. In view of it, known star-product schemes, like the Weyl-Wigner-Moyal formalism, the Husimi and the Glauber-Sudarshan maps are revisited and their dual partners elucidated. The tomographic map, which has been recently described as yet another star product scheme, is considered. It yields a noncommutative algebra of operator symbols which are positive definite probability distributions. Through the duality symmetry a new noncommutative algebra of operator symbols is found, equipped with a new star product. The kernel of the new star product is established in explicit form and examples are considered.
Man'ko Vladimir I.
Marmo Giuseppe
Vitale Patrizia
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