Superalgebras for three interacting particles in an external magnetic field
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
Corresponding author: a email@example.com
Revised: 24 October 2005
Published online: 5 May 2006
In this paper we discuss interacting particles in an external magnetic field. By comparing the Schrödinger 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.
PACS: 21.60.Cs – Shell model
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2006