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.

Attached Files
Name Description MIMEType Size Downloads

Title Simple applications of q-bosons
Author(s) Angelova Turkedjieva, MaiaORCID iD for Angelova Turkedjieva, Maia orcid.org/0000-0002-0931-0916
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
Physics
VIBRATIONAL-SPECTRA
OSCILLATOR
MOLECULES
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
Persistent URL http://hdl.handle.net/10536/DRO/DU:30116344

Connect to link resolver
 
Unless expressly stated otherwise, the copyright for items in DRO is owned by the author, with all rights reserved.

Versions
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 17 times in TR Web of Science
Scopus Citation Count Cited 18 times in Scopus
Google Scholar Search Google Scholar
Access Statistics: 7 Abstract Views, 0 File Downloads  -  Detailed Statistics
Created: Thu, 03 Jan 2019, 09:36:24 EST

Every reasonable effort has been made to ensure that permission has been obtained for items included in DRO. If you believe that your rights have been infringed by this repository, please contact drosupport@deakin.edu.au.