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

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.
Authors:
 [1] ; ;  [2]
  1. Department of Physics and Research Institute of Natural Science, College of Natural Science, Gyeongsang National University, Jinju 660-701 (Korea, Republic of)
  2. International Chair in Mathematical Physics and Applications, (ICMPA–UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50 Cotonou, Republic of Benin (Benin)
Publication Date:
OSTI Identifier:
22306076
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; EIGENSTATES; OSCILLATORS; PHYSICAL PROPERTIES; QUANTUM OPERATORS; STRUCTURE FUNCTIONS; THERMODYNAMICS