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arXiv · 1403.1311

Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states

Won Sang Chung·Mahouton Norbert Hounkonnou·Sama Arjika
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Abstract

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.

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Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika. 2014-05-22. Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states. https://doi.org/10.1063/1.4889797

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