Supersymmetry and superalgebra for the two-body system with a Dirac oscillator interaction

Details Supersymmetry and superalgebra for the two-body system with a Dirac oscillator interaction Supersymmetry and superalgebra for the two-body system with a Dirac oscillator interaction

1995-10-03

arxiv.org/abs/hep-th/9510006v1

J.Phys.A28:6447-6458,1995

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, 1 figure (can be obtained from the authors), to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/28/22/020

Some years ago, one of the authors~(MM) revived a concept to which he gave the name of single-particle Dirac oscillator, while another~(CQ) showed that it corresponds to a realization of supersymmetric quantum mechanics. The Dirac oscillator in its one- and many-body versions has had a great number of applications. Recently, it included the analytic expression for the eigenstates and eigenvalues of a two-particle system with a new type of Dirac oscillator interaction of frequency~$\omega$. By considering the latter together with its partner corresponding to the replacement of~$\omega$ by~$-\omega$, we are able to get a supersymmetric formulation of the problem and find the superalgebra that explains its degeneracy.

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