“School of Physic”
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| Paper IPM / Physic / 6644 |
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| Abstract: | |||||
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It has been shown that all second-order associated differential equations
obtained from the master function have the properties of parasupersymmetry
and shape invariance. Using this fact, all of the well-known
one-dimensional shape invariant parasupersymmetric Hamiltonians have been
obtained by an appropriate choice of master function and corresponding
weight function, where only two of these parasupersymmetric Hamiltonians can
be interpreted as the Hamiltonian of motion of spin-(p/2) particle in
the presence of a magnetic field along the z-axis.
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