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Tunneling resonances in systems without a classical trapping

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F13%3A00214012" target="_blank" >RIV/68407700:21340/13:00214012 - isvavai.cz</a>

  • Alternative codes found

    RIV/61389005:_____/13:00391481

  • Result on the web

    <a href="http://scitation.aip.org/content/aip/journal/jmp/54/1/10.1063/1.4773098" target="_blank" >http://scitation.aip.org/content/aip/journal/jmp/54/1/10.1063/1.4773098</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1063/1.4773098" target="_blank" >10.1063/1.4773098</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Tunneling resonances in systems without a classical trapping

  • Original language description

    In this paper, we analyze a free quantum particle in a straight Dirichlet waveguide which has at its axis two Dirichlet barriers of lengths l_(+-) separated by a window of length 2a. It is known that if the barriers are semi-infinite, i.e., we have two adjacent waveguides coupled laterally through the boundary window, the system has for any a > 0 a finite number of eigenvalues below the essential spectrum threshold. Here, we demonstrate that for large but finite l_(+-) the system has resonances which converge to the said eigenvalues as l_(+-) -> infinity, and derive the leading term in the corresponding asymptotic expansion.

  • 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

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of Mathematical Physics

  • ISSN

    0022-2488

  • e-ISSN

  • Volume of the periodical

    54

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    19

  • Pages from-to

  • UT code for WoS article

    000314726700007

  • EID of the result in the Scopus database