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| Paper IPM / Physic / 6582 |
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| Abstract: | |||||
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The exactly and quasi-exactly solvable problems for spin one-half in one
dimension on the basis of a hidden dynamical symmetry algebra of Hamiltonian
are discused. We take the supergroup, OSP (2|1), as such a symmetry. A
number of exactly solvable examples are considered and their spectrum are
evaluated explicitly. Also, a class of quasi-exactly solvable problems on the
basis of such a symmetry has been obtained.
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