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
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.