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Paper   IPM / Physic / 7940
School of Physics
  Title:   Superalgebras for Three Interacting Particles in An External Magnetic Field
  Author(s):  J. Sadeghi
  Status:   Published
  Journal: Eur. Phys. J. B
  Vol.:  50
  Year:  2006
  Pages:   453-457
  Supported by:  IPM
In this paper we discuss the interacting particles in an external magnetic field. By comparing the Schrödinger equation of three - interacting particles with associated Laguerre differential equation, we obtain the energy spectrum which correspondes 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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