Remarks on the Dirac Kepler/Coulomb problem with a space-dependent mass term

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dc.coverageDOI: 10.1088/1402-4896/ac1a4b
dc.creatorBruce, S. A.
dc.date2021
dc.date.accessioned2025-11-18T19:45:07Z
dc.date.available2025-11-18T19:45:07Z
dc.description<p>We investigate the Dirac Kepler/Coulomb (KC) problem in (2+1)-dimensions where the charged particle (an electron) is simultaneously affected by a position-dependent effective mass term. In polar coordinates, we examine two instances: (i) the quantum dynamics of an electron moving in the presence of both a Coulomb potential and a Coulomb-like scalar potential. This problem turns to be exactly solvable; (ii) the planar dynamics of a self-interacting electron in a Coulomb potential where nonlinearities are introduced via a scalar self-interaction, known as the Soler model. We obtain the approximate (nonlinear) ground-state energy levels together with their respective eigenfunctions. Thus, within the same framework, we present two different relativistic quantum-mechanical models which can be further explored.</p>eng
dc.identifierhttps://investigadores.uandes.cl/en/publications/5e088d9e-c363-45c8-a2c9-85dd3ec90a1f
dc.identifier.urihttps://repositorio.uandes.cl/handle/uandes/53804
dc.languageeng
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.sourcevol.96 (2021) nr.12
dc.subject2D electron dynamics
dc.subjectKepler/Coulomb problem
dc.subjectnonlinear Dirac equation.
dc.titleRemarks on the Dirac Kepler/Coulomb problem with a space-dependent mass termeng
dc.typeArticleeng
dc.typeArtículospa
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