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Dihedral Symmetry of Periodic Chain: Quantization and Coherent States

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F07%3A04129489" target="_blank" >RIV/68407700:21340/07:04129489 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Dihedral Symmetry of Periodic Chain: Quantization and Coherent States

  • Original language description

    Our previous work on quantum kinematics and coherent states over finite configuration spaces is extended: the configuration space is, as before, the cyclic group Zn of arbitrary orders n = 2, 3, ..., but a larger group-the non-Abelian dihedral group Dn-is taken as its symmetry group. The corresponding group-related coherent states are constructed and their overcompleteness is proved. Our approach based on geometric symmetry can be used as a kinematic framework for matrix methods in quantum chemistry ofring molecules.

  • Czech name

    Symetrie dihedrálni grupy periodického řetízku: kvantování a koherentní stavy

  • Czech description

    Je odvozeno kvantování a koherentní stavy na konečném periodickém řetízku se symetrií dihedrálni grupy.

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/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2007

  • 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 Physics A: Mathematical and Theoretical

  • ISSN

    1751-8113

  • e-ISSN

  • Volume of the periodical

    40

  • Issue of the periodical within the volume

    18

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    13

  • Pages from-to

    4833-4845

  • UT code for WoS article

  • EID of the result in the Scopus database