Semiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications

Simple item page
dc.creatorHelffer, Bernard
dc.creatorPankrashkin, Konstantin
dc.date2008-02-11
dc.date2008-09-12
dc.date.accessioned2026-07-07T13:17:17Z
dc.date.available2026-07-07T13:17:17Z
dc.descriptionThe two-dimensional Schroedinger operator with a uniform magnetic field and a periodic zero-range potential is considered. For weak magnetic fields we reduce the spectral problem to the semiclassical analysis of one-dimensional Harper-like operators. This shows the existence of parts of Cantor structure in the spectrum for special values of the magnetic flux.
dc.description31 pages, minor revision (typos corrected, references updated), accepted in Asymptotic Analysis
dc.identifierhttps://arxiv.org/abs/0802.1414
dc.identifierhttp://arxiv.org/abs/0802.1414
dc.identifierAsymptotic Analysis 63 (2009) 1-27
dc.identifierdoi:10.3233/ASY-2008-0923
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231063
dc.subjectMathematical Physics
dc.titleSemiclassical reduction for magnetic Schroedinger operator with periodic zero-range potentials and applications
dc.typetext

Files

Collections

arXiv