The periodic magnetic Schrödinger operators: spectral gaps and tunneling effect

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dc.creatorHelffer, Bernard
dc.creatorKordyukov, Yuri A.
dc.date2007-02-26
dc.date.accessioned2026-07-07T07:48:50Z
dc.date.available2026-07-07T07:48:50Z
dc.descriptionA periodic Schrödinger operator on a noncompact Riemannian manifold $M$ such that $H^1(M, \mathbb R)=0$ endowed with a properly discontinuous cocompact isometric action of a discrete group is considered. Under some additional conditions on the magnetic field existence of an arbitrary large number of gaps in the spectrum of such an operator in the semiclassical limit is established. The proofs are based on the study of the tunneling effect in the corresponding quantum system.
dc.descriptionLaTeX 2e, 12 pages
dc.identifierhttps://arxiv.org/abs/math/0702776
dc.identifierhttp://arxiv.org/abs/math/0702776
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124639
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.titleThe periodic magnetic Schrödinger operators: spectral gaps and tunneling effect
dc.typetext

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