Discrete spectrum for n-cell potentials

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dc.creatorGrinevich, Piotr G.
dc.creatorNovikov, Roman G.
dc.date1998-11-16
dc.date.accessioned2026-07-07T04:32:36Z
dc.date.available2026-07-07T04:32:36Z
dc.descriptionWe study the scattering problem, the Sturm-Liouville problem and the spectral problem with periodic or skew-periodic boundary conditions for the one-dimensional Schrödinger equation with an $n$-cell (finite periodic) potential. We give explicit upper and lower bounds for the distribution functions of discrete spectrum for these problems. For the scattering problem we give, besides, explicit upper and lower bounds for the distribution function of discrete spectrum for the case of potential consisting of $n$ not necessarily identical cells. For the scattering problem some results about transmission resonances are obtained.
dc.description25 pages, LaTeX209 or LaTeX2e
dc.identifierhttps://arxiv.org/abs/math-ph/9811014
dc.identifierhttp://arxiv.org/abs/math-ph/9811014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58245
dc.subjectMathematical Physics
dc.subject34L15 (Primary) 34L24, 34B24 (Secondary)
dc.titleDiscrete spectrum for n-cell potentials
dc.typetext

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