Simple applications of q-bosons

Angelova, Maia, Dobrev, Vladimir and Frank, A. (2001) Simple applications of q-bosons. Journal of Physics A: Mathematical and General, 34 (37). L503-L509. ISSN 0305-4470

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Official URL: http://dx.doi.org/10.1088/0305-4470/34/37/101

Abstract

Deformation of the harmonic oscillator algebra associated with the Morse potential and su(2) algebra is derived using quantum analogue of anharmonic oscillator. A change of parametrization leads naturally to Lie-algebraic approximations of the general q-deformation and physical interpretation of the deformation parameters. New algebraic realization of q-bosons is presented, q=root of unity, which corresponding to a periodic structure described by a finite-dimensional representation. It represents the symmetry of a linear lattice with periodic boundary conditions, providing a useful framework for deformation of crystalline and polymer Hamiltonians. Collaborative work with National Univ. of Mexico and Bulgaria Academy of Sci.

Item Type: Article
Subjects: F300 Physics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: EPrint Services
Date Deposited: 19 Nov 2008 14:32
Last Modified: 29 Feb 2016 11:51
URI: http://nrl.northumbria.ac.uk/id/eprint/1628

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