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Paper   IPM / P / 6582
School of Physics
  Title:   Exactly and Quasi-Exactly Solvable Modelson the Basis of osp(2|1)
1.  A. Shafiekhani
2.  M. Khorrami
  Status:   Published
  Journal: Mod. Phys. Lett. A
  No.:  36
  Vol.:  12
  Year:  1997
  Pages:   1655-1661
  Supported by:  IPM
The exactly and quasi-exactly solvable problems for spin one-half in one dimension on the basis of a hidden dynamical symmetry algebra of Hamiltonian are discused. We take the supergroup, OSP (2|1), as such a symmetry. A number of exactly solvable examples are considered and their spectrum are evaluated explicitly. Also, a class of quasi-exactly solvable problems on the basis of such a symmetry has been obtained.

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