f-oscillators deformation for Moyal algebras

Physics – Quantum Physics

Scientific paper

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11 pages - to be submitted to Physics Letters A

Scientific paper

10.1016/j.physleta.2007.12.072

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.

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