Spherically symmetric Dirac operators with variable mass and potentials infinite at infinity

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dc.creatorSchmidt, Karl Michael
dc.creatorYamada, Osanobu
dc.date1998-04-20
dc.date.accessioned2026-07-07T05:24:26Z
dc.date.available2026-07-07T05:24:26Z
dc.descriptionWe study the spectrum of spherically symmetric Dirac operators in three-dimensional space with potentials tending to infinity at infinity under weak regularity assumptions. We prove that purely absolutely continuous spectrum covers the whole real line if the potential dominates the mass, or scalar potential, term. In the situation where the potential and the scalar potential are identical, the positive part of the spectrum is purely discrete; we show that the negative half-line is filled with purely absolutely continuous spectrum in this case.
dc.description16 pages; submitted to Publ. RIMS
dc.identifierhttps://arxiv.org/abs/math/9804091
dc.identifierhttp://arxiv.org/abs/math/9804091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76841
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject81Q10 (primary) 35Q40, 34L40 (secondary)
dc.titleSpherically symmetric Dirac operators with variable mass and potentials infinite at infinity
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