Superalgebras for three interacting particles in an external magnetic field |
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Authors: | J Sadeghi |
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Institution: | (1) Institute for Studies in Theoretical Physics and Mathematics (IPM), P.O. Box 19395-5531, Tehran, Iran and Department of Physics Faculty of Sciences, Mazandaran University, P.O. Box 47415, Babolsar, Iran |
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Abstract: | In this paper we discuss interacting particles in an
external magnetic field. By comparing the Schr?dinger equation of
three interacting particles with the associated Laguerre differential
equation, we obtain the energy spectrum which corresponds to
indices ni and mi. Finally by using the so called
factorization method we obtain the raising and lowering operators.
These operators are supersymmetric structures related to the
Hamiltonian partner. Also these
operators lead to the realization of Heisenberg Lie superalgebras with two, four and six supercharges. |
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Keywords: | 21 60 Cs Shell model |
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