EXACTLY AND QUASI-EXACTLY SOLVABLE MODELS ON THE BASIS OF OSP(2-VERTICAL-BAR-1)

Citation
A. Shafiekhani et M. Khorrami, EXACTLY AND QUASI-EXACTLY SOLVABLE MODELS ON THE BASIS OF OSP(2-VERTICAL-BAR-1), Modern physics letters A, 12(22), 1997, pp. 1655-1661
Citations number
13
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
12
Issue
22
Year of publication
1997
Pages
1655 - 1661
Database
ISI
SICI code
0217-7323(1997)12:22<1655:EAQSMO>2.0.ZU;2-O
Abstract
The exactly and quasi-exactly solvable problems for spin one-half in o ne dimension on the basis of a hidden dynamical symmetry algebra of Ha miltonian are discussed. We take the supergroup, OSP(2/1), as such a s ymmetry. A number of exactly solvable examples are considered and thei r spectrum are evaluated explicitly. Also, a class of quasi-exactly so lvable problems on the basis of such a symmetry has been obtained.