Schrödinger Operators with Periodic Singular Potentials

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dc.creatorHryniv, Rostyslav O.
dc.creatorMykytyuk, Yaroslav V.
dc.date2001-09-19
dc.date.accessioned2026-07-07T04:43:26Z
dc.date.available2026-07-07T04:43:26Z
dc.descriptionWe show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which depend continuously in the uniform resolvent sense on the potential in the W^{-1}_{2,unif}(R)-norm. In the case of periodic singular potentials we also establish pure absolute continuity and a band and gap structure of the spectrum thus generalising some classical results for singular potentials of one-dimensional quasicrystal theory.
dc.description12 pages, Amslatex, To appear in Meth. Funct. Anal. Topol
dc.identifierhttps://arxiv.org/abs/math/0109129
dc.identifierhttp://arxiv.org/abs/math/0109129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62224
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject34L05 (Primary) 34L40, 47A10, 47B25 (Secondary)
dc.titleSchrödinger Operators with Periodic Singular Potentials
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