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Strong Coupling Asymptotics for a Singular Schrodinger Operator with an Interaction Supported by an Open Arc

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00226117" target="_blank" >RIV/68407700:21340/14:00226117 - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/14:00425773

  • Result on the web

    <a href="http://dx.doi.org/10.1080/03605302.2013.851213" target="_blank" >http://dx.doi.org/10.1080/03605302.2013.851213</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1080/03605302.2013.851213" target="_blank" >10.1080/03605302.2013.851213</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Strong Coupling Asymptotics for a Singular Schrodinger Operator with an Interaction Supported by an Open Arc

  • Original language description

    We consider a singular Schrödinger operator in L 2(?2) written formally as-?-??(x-?) where ? is a C 4 smooth open arc in ?2 of length L with regular ends. It is shown that the jth negative eigenvalue of this operator behaves in the strong-coupling limit,? -> + infinity, asymptotically as where is the jth Dirichlet eigenvalue of the operator on L 2(0, L) with ?(s) being the signed curvature of ? at the point s element (0, L) and s is the arc length parameter.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP203%2F11%2F0701" target="_blank" >GAP203/11/0701: Guided Quantum Dynamics</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Communications in Partial Differential Equations

  • ISSN

    0360-5302

  • e-ISSN

  • Volume of the periodical

    39

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    20

  • Pages from-to

    193-212

  • UT code for WoS article

    000329426400001

  • EID of the result in the Scopus database