Semiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators

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dc.creatorMathai, V.
dc.creatorShubin, M.
dc.date2001-02-02
dc.date2001-03-18
dc.date.accessioned2026-07-07T04:39:57Z
dc.date.available2026-07-07T04:39:57Z
dc.descriptionIn this paper, we study an L2 version of the semiclassical approximation of magnetic Schroedinger operators with invariant Morse type potentials on covering spaces of compact manifolds. In particular, we are able to establish the existence of an arbitrary large number of gaps in the spectrum of these operators, in the semiclassical limit as the coupling constant goes to zero.
dc.description18 pages, Latex2e, more typos corrected
dc.identifierhttps://arxiv.org/abs/math/0102021
dc.identifierhttp://arxiv.org/abs/math/0102021
dc.identifierGeometriae Dedicata, vol. 91, no. 1, (2002) 155-173.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60882
dc.subjectSpectral Theory
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject58J50, 46L60
dc.titleSemiclassical asymptotics and gaps in the spectra of magnetic Schroedinger operators
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