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“School of Physics”

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Paper   IPM / P / 6868
School of Physics
  Title:   Parasupersymmetric Coherent States for Landau Levels with Dynamical Symmetry Group H4
  Author(s): 
1.  H. Fakhri
2.  H. Motavali
  Status:   Published
  Journal: Int. J. Mod. Phys. A
  Vol.:  17
  Year:  2002
  Pages:   4081-4093
  Supported by:  IPM
  Abstract:
The eigenstates and their degeneracy for parasupersymmetric Hamiltonian of arbitrary order p, corresponding to the motion of a charged particle with spin [(P)/2] on the flat surface in the presence of a constant magnetic field along z-axis, are calculated. The eigenstates are expressed in terms of Landau levels quantum states with dynamical symmetry group H4. Furthermore, parasupersymmetric coherent states with multiplicity degeneracy are derived for an ad hoc lowering operator of the eigenstates in terms of ordinary coherent states of Landau Hamiltonian.

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