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

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.

References in corpus (5)

• Unified View of Deformed Single - Mode Oscillator Algebras
• Statistical Mechanics of $qp$-Bosons in $D$ Dimensions
• Deformed gas of p,q-bosons: virial expansion and virial coefficients
• A q-Oscillator with 'Accidental' Degeneracy of Energy Levels
• Unified $(p,q;\alpha ,\beta ,\nu ;\gamma )-$deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator