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The eigenstates of arbitrary-order parasupersymmetric Hamiltonian
p corresponding to a particle with spin $p/2$ in the presence of a
harmonic oscillator potential and constant magnetic field directed
along the z-axis are constructed in terms of eigenstates of a
one-dimensional harmonic oscillator. Also, parasupersymmetric
coherent states with degenerate multiplicity of an ad hoc bosonic
annihilation operator of parasupersymmetric eigenstates of the
Hamiltonian mentioned above are calculated.
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