The relation between polynomial deformations of sl(2, R) and quasi-exact solvability

Authors
Debergh, N
Citation
N. Debergh, The relation between polynomial deformations of sl(2, R) and quasi-exact solvability, J PHYS A, 33(40), 2000, pp. 7109-7121
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
40
Year of publication
2000
Pages
7109 - 7121
Database
ISI
SICI code
0305-4470(20001013)33:40<7109:TRBPDO>2.0.ZU;2-V
Abstract
A general method based on the polynomial deformations of the Lie algebra s1 (2, R) is proposed in order to exhibit the quasi-exact solvability of speci fic Hamiltonians implied by quantum physical models. This method, using the finite-dimensional representations and differential realizations of such d eformations, is illustrated on the sextic oscillator as well as on second-h aromnic generation.