Physics – Quantum Physics
Scientific paper
2003-06-02
J. Optics B: Quantum and Semiclassical Optics ... (2003)
Physics
Quantum Physics
21 pages, LaTeX
Scientific paper
10.1088/1464-4266/5/3/362
A new approach to deformation quantization on the cylinder considered as phase space is presented. The method is based on the standard Moyal formalism for R^2 adapted to (S^1 x R) by the Weil--Brezin--Zak transformation. The results are compared with other solutions of this problem presented by Kasperkovitz and Peev (Ann. Phys. vol. 230, 21 (1994)0 and by Plebanski and collaborators (Acta Phys. Pol. vol. B 31}, 561 (2000)). The equivalence of these three methods is proved.
del Olmo Mariano A.
Gonzalez Jose A.
Tosiek Jaromir
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