Spectral stability of the Coulomb-Dirac Hamiltonian with anomalous magnetic moment

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dc.creatorKalf, Hubert
dc.creatorSchmidt, Karl Michael
dc.date2003-11-25
dc.date.accessioned2026-07-07T05:03:15Z
dc.date.available2026-07-07T05:03:15Z
dc.descriptionWe show that the point spectrum of the standard Coulomb-Dirac operator H_0 is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment H_a as the anomaly parameter tends to 0. For negative angular momentum quantum number kappa, this holds for all Coulomb coupling constants c for which H_0 has a distinguished self-adjoint realisation. For positive kappa, however, there are some exceptional values for c, and in general an index shift between the eigenvalues of H_0 and the limits of eigenvalues of H_a appears, accompanied with additional oscillations of the eigenfunctions of H_a very close to the origin.
dc.identifierhttps://arxiv.org/abs/math/0311448
dc.identifierhttp://arxiv.org/abs/math/0311448
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69342
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject81V45; 34D15, 34L40, 81Q15
dc.titleSpectral stability of the Coulomb-Dirac Hamiltonian with anomalous magnetic moment
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