Simple applications of q-bosons

Maia Angelova, Vladimir Dobrev, A. Frank

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)L503-L509
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number37
DOIs
Publication statusPublished - Sep 2001

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