Exceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment

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dc.creatorSchmidt, K. M.
dc.date2004-07-27
dc.date.accessioned2026-07-07T05:10:43Z
dc.date.available2026-07-07T05:10:43Z
dc.descriptionIt was recently shown that the point spectrum of the separated Coulomb-Dirac operator H_0(k) is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment H_a(k) as the anomaly parameter tends to 0; this spectral stability holds for all Coulomb coupling constants c for which H_0(k) has a distinguished self-adjoint extension if the angular momentum quantum number k is negative, but for positive k there are certain exceptional values for c. Here we obtain an explicit formula for these exceptional values. In particular, it implies spectral stability for the three-dimensional Coulomb-Dirac operator if |c| < 1, covering all physically relevant cases.
dc.identifierhttps://arxiv.org/abs/math/0407457
dc.identifierhttp://arxiv.org/abs/math/0407457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72016
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subjectClassical Analysis and ODEs
dc.subject34L40 (Primary) 34A05, 34D15, 81Q10 (Secondary)
dc.titleExceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment
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