Simple applications of q-bosons

Angelova Turkedjieva, Maia, Dobrev, V. K. and Frank, A. 2001, Simple applications of q-bosons, Journal of physics a: mathematical and general, vol. 34, no. 37, doi: 10.1088/0305-4470/34/37/101.

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Title Simple applications of q-bosons
Author(s) Angelova Turkedjieva, MaiaORCID iD for Angelova Turkedjieva, Maia
Dobrev, V. K.
Frank, A.
Journal name Journal of physics a: mathematical and general
Volume number 34
Issue number 37
Total pages 7
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 2001-09-21
ISSN 0305-4470
Keyword(s) Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics, Mathematical
Summary 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 q-boson algebra, which is a generalization of the Heisenberg-Weyl algebra obtained by introducing a deformation parameter q. Further, we present a new algebraic realization of the q-bosons, for the case of q 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.
Language eng
DOI 10.1088/0305-4470/34/37/101
Indigenous content off
Field of Research 01 Mathematical Sciences
02 Physical Sciences
HERDC Research category CN.1 Other journal article
Copyright notice ©2001, IOP Publishing Ltd
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