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arXiv · 0712.2191

f-oscillators deformation for Moyal algebras

V. I. Man'ko·G. Marmo·E. C. G. Sudarshan·F. Zaccaria
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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 deformations of Groenewold kernel related to general kinds of nonlinear vibrations described by f-oscillators are considered.

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V. I. Man'ko, G. Marmo, E. C. G. Sudarshan, F. Zaccaria. 2007-12-13. f-oscillators deformation for Moyal algebras. https://doi.org/10.1016/j.physleta.2007.12.072

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