On theq-deformed coherent states of a generalizedf-oscillator

Autor:	Marcelo A. Marchiolli
Rok vydání:	2005
Předmět:	Physics Weyl algebra Group (mathematics) Condensed Matter Physics Atomic and Molecular Physics and Optics Momentum Nonlinear system Quantum mechanics Phase space Coherent states in mathematical physics Wigner distribution function Coherent states Mathematical Physics Mathematical physics
Zdroj:	Physica Scripta. 73:62-72
ISSN:	1402-4896 0031-8949
DOI:	10.1088/0031-8949/73/1/009
Popis:	Adopting the framework of the generalized q-deformed Heisenberg?Weyl algebra , we present a mathematical procedure which leads us to obtain analytical expressions for a general class of q-deformed coherent states associated with the different patterns of the energy spectrum exhibited by the nonlinear f-oscillator. In particular, we establish the properties of a small group of q-deformed coherent states for ? > ? > 0 with emphasis on the resolution of unity. As an application of these properties, we investigate the Robertson?Schr?dinger uncertainty relation and the squeezing effect for the deformed coordinate and momentum operators, which are defined in terms of the abstract elements of this algebra. Furthermore, we also obtain the Wigner function and the correct quantum-mechanical marginal distributions in phase space.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7e6e4d80c374903958703d0641b58314 https://doi.org/10.1088/0031-8949/73/1/009 Zobrazit plný text záznamu