On the spectrum of a Schroedinger operator perturbed by a fast oscillating potential

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dc.creatorBorisov, Denis I.
dc.date2005-05-25
dc.date2005-06-12
dc.date.accessioned2026-07-07T06:34:20Z
dc.date.available2026-07-07T06:34:20Z
dc.descriptionWe study the spectrum of a one-dimensional Schroedinger operator perturbed by a fast oscillating potential. The oscillation period is a small parameter. The essential spectrum is found in an explicit form. The existence and multiplicity of the discrete spectrum are studied. The complete asymptotics expansions for the eigenvalues and the associated eigenfunctions are constructed.
dc.descriptionThe article is written originally in Russian. Translation is made by the author. In the present version several typos occured in the previous one were corrected
dc.identifierhttps://arxiv.org/abs/math-ph/0505068
dc.identifierhttp://arxiv.org/abs/math-ph/0505068
dc.identifierJournal of Mathematical Sciences. 2006. V. 139. No. 1. P. 6243-6322.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99495
dc.subjectMathematical Physics
dc.titleOn the spectrum of a Schroedinger operator perturbed by a fast oscillating potential
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