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Resonances in Quantum Networks and Their Generalizations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00226123" target="_blank" >RIV/68407700:21340/14:00226123 - isvavai.cz</a>

  • Result on the web

    <a href="http://link.springer.com/chapter/10.1007/978-94-017-8704-8_12" target="_blank" >http://link.springer.com/chapter/10.1007/978-94-017-8704-8_12</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-94-017-8704-8_12" target="_blank" >10.1007/978-94-017-8704-8_12</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Resonances in Quantum Networks and Their Generalizations

  • Original language description

    We discuss resonances in quantum graphs and their more general analogs having 'edges' of different dimensions. Since the notion of resonance may mean different things, we show that the two most common definitions, scattering and resolvent resonances, areequivalent in this case. We analyze the high-energy behavior of resonances in quantum graphs and show that it may deviate from the standard Weyl law prediction; we derive a criterion which shows when such a thing happens. We also investigate influence of magnetic fields on graph resonances and show that they are field configurations which remove all 'true' resonances from such systems.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • 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

  • Article name in the collection

    NONLINEAR PHENOMENA IN COMPLEX SYSTEMS: FROM NANO TO MACRO SCALE

  • ISBN

    978-94-017-8707-9

  • ISSN

    1871-4668

  • e-ISSN

  • Number of pages

    20

  • Pages from-to

    159-178

  • Publisher name

    Springer Netherlands

  • Place of publication

    Dordrecht

  • Event location

    Samarkand

  • Event date

    May 20, 2013

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000345122100012