f-oscillators deformation for Moyal algebras
Quantum Physics
2008-11-26 v1
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.
Keywords
Cite
@article{arxiv.0712.2191,
title = {f-oscillators deformation for Moyal algebras},
author = {V. I. Man'ko and G. Marmo and E. C. G. Sudarshan and F. Zaccaria},
journal= {arXiv preprint arXiv:0712.2191},
year = {2008}
}
Comments
11 pages - to be submitted to Physics Letters A