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| Paper IPM / P / 6868 |
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| Abstract: | |||||
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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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