Simple Applications of q-Bosons
Statistical Mechanics
2011-12-20 v2 Quantum Algebra
Abstract
A deformation of the harmonic oscillator algebra associated with the Morse potential and the SU(2) algebra is derived using the quantum analogue of the anharmonic oscillator. We use the quantum oscillator algebra or -boson algebra which is a generalisation of the Heisenberg-Weyl algebra obtained by introducing a deformation parameter . Further, we present a new algebraic realization of the -bosons, for the case of being a root of unity, which corresponds to a periodic structure described by a finite-dimensional representation. We show that this structure represents the symmetry of a linear lattice with periodic boundary conditions.
Cite
@article{arxiv.cond-mat/0105193,
title = {Simple Applications of q-Bosons},
author = {Maia Angelova and V. K. Dobrev and A. Frank},
journal= {arXiv preprint arXiv:cond-mat/0105193},
year = {2011}
}
Comments
LATEX2e, 10 pages, v2: few misprints corrected, added Journal-ref