On the supersymmetry of the Dirac-Kepler problem plus a Coulomb-type scalar potential in D+1 dimensions and the generalized Lippmann-Johnson operator
D. Martinez, M. Salazar-Ramirez, R. D. Mota, V. D. Granados
TL;DR
This paper extends the Dirac-Kepler problem with a Coulomb-type scalar potential to D+1 dimensions, using a generalized Lippmann-Johnson operator to derive energy spectra and ground states through supersymmetry.
Contribution
It introduces a generalized Lippmann-Johnson operator in D dimensions and constructs supersymmetric generators to analyze the Dirac-Kepler problem with scalar potential.
Findings
Derived energy spectrum for discrete excited states
Constructed radial spinor for SUSY ground state
Extended supersymmetry methods to higher dimensions
Abstract
We study the Dirac-Kepler problem plus a Coulomb-type scalar potential by generalizing the Lippmann-Johnson operator to D spatial dimensions. From this operator, we construct the supersymmetric generators to obtain the energy spectrum for discrete excited eigenstates and the radial spinor for the SUSY ground state
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