Physics – Quantum Physics
Scientific paper
2007-12-13
Phys.Lett.A372:4364-4368,2008
Physics
Quantum Physics
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.
Man'ko Vladimir I.
Marmo Giuseppe
Sudarshan E. C. G.
Zaccaria Francesco
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