On the spectrum of a Hamilton defined on su(q)(2) and quantum optical models

Authors
Ballesteros, A Chumakov, SM
Citation
A. Ballesteros et Sm. Chumakov, On the spectrum of a Hamilton defined on su(q)(2) and quantum optical models, J PHYS A, 32(35), 1999, pp. 6261-6269
Citations number
18
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
35
Year of publication
1999
Pages
6261 - 6269
Database
ISI
SICI code
0305-4470(19990903)32:35<6261:OTSOAH>2.0.ZU;2-6
Abstract
Analytical expressions are given for the eigenvalues and eigenvectors of a Hamiltonian with su(q)(2) dynamical symmetry. The relevance of such an oper ator in quantum optics is discussed. As an application, the ground-state en ergy in the Dicke model is studied through su(q)(2) perturbation theory.