Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states
Journal Article
·
· Journal of Mathematical Physics
- International Chair in Mathematical Physics and Applications, (ICMPA–UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin (Benin)
In this paper, we propose a full characterization of a generalized q-deformed Tamm-Dancoff oscillator algebra and investigate its main mathematical and physical properties. Specifically, we study its various representations and find the condition satisfied by the deformed q-number to define the algebra structure function. Particular Fock spaces involving finite and infinite dimensions are examined. A deformed calculus is performed as well as a coordinate realization for this algebra. A relevant example is exhibited. Associated coherent states are constructed. Finally, some thermodynamics aspects are computed and discussed.
- OSTI ID:
- 22306076
- Journal Information:
- Journal of Mathematical Physics, Vol. 55, Issue 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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