f-oscillators deformation for Moyal algebras

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Man'ko, V. I.
Marmo, G.
Sudarshan, E. C. G.
Zaccaria, F.
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Abstract
Description
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 deformations of Groenewold kernel related to general kinds of nonlinear vibrations described by f-oscillators are considered.
Comment: 11 pages - to be submitted to Physics Letters A
Keywords
Quantum Physics
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