Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10728542 | Physics Letters A | 2005 | 11 Pages |
Abstract
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. 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 star product is established in explicit form and examples are considered.
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Authors
V.I. Man'ko, G. Marmo, P. Vitale,