Simple applications of q-bosons

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

Full text not available from this repository.

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
Divisions:	Faculties > Engineering and Environment > School of Computing, Engineering and Information Sciences > Northumbria Communications Research Laboratories
Depositing User:	EPrints Services
Date Deposited:	19 Nov 2008 14:32
Last Modified:	22 Feb 2013 10:03
URI:	http://nrl.northumbria.ac.uk/id/eprint/1628