Convergent perturbation theory for a q-deformed anharmonic oscillator

Authors
Dick, R Pollok-Narayanan, A Steinacker, H Wess, J
Citation
R. Dick et al., Convergent perturbation theory for a q-deformed anharmonic oscillator, EUR PHY J C, 7(2), 1999, pp. 363-368
Citations number
16
Categorie Soggetti
Physics
Journal title
EUROPEAN PHYSICAL JOURNAL C
ISSN journal
14346044 → ACNP
Volume
7
Issue
2
Year of publication
1999
Pages
363 - 368
Database
ISI
SICI code
1434-6044(199902)7:2<363:CPTFAQ>2.0.ZU;2-Q
Abstract
A q-deformed anharmonic oscillator is defined within the framework of q-def ormed quantum mechanics. It is shown that the Rayleigh-Schrodinger perturba tion series for the bounded spectrum converges to exact eigenstates and eig envalues, for q close to 1. The radius of convergence becomes zero in the u ndeformed limit.