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Paper   IPM / Physic / 6675
School of Physics
  Title:   Degeneracy and Para-Supersymmetry of Dirac Hamiltonian in (2+1)-Space-Time
1.  M.A. Jafarizadeh
2.  S.K. Moayedi
  Status:   Published
  Journal: J. Math. Phys.
  No.:  27
  Vol.:  40
  Year:  1999
  Pages:   4274-4289
  Supported by:  IPM
The quantum mechanics of a spin [1/2] particle on a locally spatial constant curvature part of a (2+1) -space?time in the presence of a constant magnetic field of a magnetic monopole has been investigated. It has been shown that these two-dimensional Hamiltonians have the degeneracy group of SL(2,c), and para-supersymmetry of arbitrary order or shape invariance. Using this symmetry we have obtained its spectrum algebraically. The Dirac's quantization condition has been obtained from the representation theory. Also, it is shown that the presence of angular deficit suppresses both the degeneracy and shape invariance.

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