f-oscillators deformation for Moyal algebras
arXiv:0712.2191 · doi:10.1016/j.physleta.2007.12.072
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.
11 pages - to be submitted to Physics Letters A
References in corpus (13)
- f-Oscillators and Nonlinear Coherent States
- Alternative commutation relations, star products and tomography
- Deformation Quantization: Quantum Mechanics Lives and Works in Phase-Space
- Quantum Bi-Hamiltonian Systems
- Twisting all the way: from Classical Mechanics to Quantum Fields
- Correlation functions of quantum q-oscillators
- Star products, duality and double Lie algebras
- Duality symmetry for star products
- A generalization of the Jordan-Schwinger map: classical version and its q--deformation
- On the meaning and interpretation of Tomography in abstract Hilbert spaces
- A tomographic setting for quasi-distribution functions
- Generalized Phase Space Representation of Operators
- Gauge Theory of the Star Product