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Essential spectrum of Schrödinger operators with delta-interactions on the union of compact Lipschitz hypersurfaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F13%3A00442875" target="_blank" >RIV/61389005:_____/13:00442875 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Essential spectrum of Schrödinger operators with delta-interactions on the union of compact Lipschitz hypersurfaces

  • Original language description

    In this note we prove that the essential spectrum of a Schrödinger operator with ?-potential supported on a finite number of compact Lipschitz hypersurfaces is given by [0, +infinity) We emphasize that the union of a family of Lipschitz hypersurfaces isin general not Lipschitz.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/7AMB13AT010" target="_blank" >7AMB13AT010: Schrodinger operators with delta and delta'-interaction on manifolds</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů