Supersymmetry in the Dirac equation for generalized Coulomb potential

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dc.creatorKhachidze, Tamar T.
dc.creatorKhelashvili, Anzor A.
dc.date2007-01-29
dc.date.accessioned2026-07-07T07:43:32Z
dc.date.available2026-07-07T07:43:32Z
dc.descriptionWe propose a symmetry of the Dirac equation under the interchange of signs of eigenvalues of the Dirac's $K$ operator. We show that the only potential which obeys this requirement is the Coulomb one for both vector and scalar cases. Spectrum of the Dirac Equation is obtained algebraically for arbitrary combination of Lorentz-scalar and Lorentz-vector Coulomb potentials using the Witten's Superalgebra approach. The results coincides with that, known from the explicit solution of the Dirac equation.
dc.description10 pages. Submitted to Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/hep-th/0701259
dc.identifierhttp://arxiv.org/abs/hep-th/0701259
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122859
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetry in the Dirac equation for generalized Coulomb potential
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