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f-oscillators deformation for Moyal algebras |
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| Authors: | VI Man'ko G Marmo |
| Institution: | a P.N. Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991, Russia b Dipartimento di Scienze Fisiche dell' Università “Federico II” e Sezione INFN di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy c Department of Physics, University of Texas, Austin, TX 78712, USA |
| Abstract: | Using general construction of star-product the q-deformed Wigner-Weyl-Moyal quantization procedure is elaborated. The q-deformed Groenewold kernel determining the product of quantum observables is given in explicit form for small nonlinearities corresponding to nonlinear vibrations of classical and quantum q-oscillators. The deformation of Groenewold kernel related to general kinds of nonlinear vibrations described by f-oscillators are considered. |
| Keywords: | 03 65 -w 03 65 Wj |
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