Spectral gaps of Schrödinger operators with periodic singular potentials

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dc.creatorDjakov, Plamen
dc.creatorMityagin, Boris
dc.date2009-03-30
dc.date.accessioned2026-07-07T12:58:10Z
dc.date.available2026-07-07T12:58:10Z
dc.descriptionBy using quasi--derivatives we develop a Fourier method for studying the spectral gaps of one dimensional Schrödinger operators with periodic singular potentials $v.$ Our results reveal a close relationship between smoothness of potentials and spectral gap asymptotics under a priori assumption $v \in H^{-1}_{loc} (\mathbb{R}).$ They extend and strengthen similar results proved in the classical case $v \in L^2_{loc}(\mathbb{R}).$
dc.identifierhttps://arxiv.org/abs/0903.5210
dc.identifierhttp://arxiv.org/abs/0903.5210
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225152
dc.subjectSpectral Theory
dc.subject34L40; 47E05; 34B30
dc.titleSpectral gaps of Schrödinger operators with periodic singular potentials
dc.typetext

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