English

Exactly and Quasi-Exactly Solvable Models on the Basis of $osp(2|1)$

High Energy Physics - Theory 2015-06-26 v1

Abstract

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 discussed. We take the supergroup, OSP(21)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.

Keywords

Cite

@article{arxiv.hep-th/9706164,
  title  = {Exactly and Quasi-Exactly Solvable Models on the Basis of $osp(2|1)$},
  author = {A. Shafiekhani and M. Khorrami},
  journal= {arXiv preprint arXiv:hep-th/9706164},
  year   = {2015}
}

Comments

8 pages, LaTex, no figures, The version to be appeared in Mod. Phys. Lett. A