Supersymmetry and superalgebra for the twobody system with a Dirac oscillator interaction
Abstract
Some years ago, one of the authors~(MM) revived a concept to which he gave the name of singleparticle Dirac oscillator, while another~(CQ) showed that it corresponds to a realization of supersymmetric quantum mechanics. The Dirac oscillator in its one and manybody versions has had a great number of applications. Recently, it included the analytic expression for the eigenstates and eigenvalues of a twoparticle 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 November 1995
 DOI:
 10.1088/03054470/28/22/020
 arXiv:
 arXiv:hepth/9510006
 Bibcode:
 1995JPhA...28.6447M
 Keywords:

 High Energy Physics  Theory
 EPrint:
 21 pages, LaTeX, 1 figure (can be obtained from the authors), to appear in J. Phys. A