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Quantum Particle on Dual Weight Lattice in Even Weyl Alcove

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00368506" target="_blank" >RIV/68407700:21340/23:00368506 - isvavai.cz</a>

  • Result on the web

    <a href="https://doi.org/10.1007/s10773-023-05296-x" target="_blank" >https://doi.org/10.1007/s10773-023-05296-x</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s10773-023-05296-x" target="_blank" >10.1007/s10773-023-05296-x</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum Particle on Dual Weight Lattice in Even Weyl Alcove

  • Original language description

    Even subgroups of affine Weyl groups corresponding to irreducible crystallographic root systems characterize families of single-particle quantum systems. Induced by primary and secondary sign homomorphisms of the Weyl groups, free propagations of the quantum particle on the refined dual weight lattices inside the rescaled even Weyl alcoves are determined by Hamiltonians of tight-binding types. Described by even hopping functions, amplitudes of the particle's jumps to the lattice neighbours are together with diverse boundary conditions incorporated through even hopping operators into the resulting even dual-weight Hamiltonians. Expressing the eigenenergies via weighted sums of the even Weyl orbit functions, the associated time-independent Schrodinger equations are exactly solved by applying the discrete even Fourier-Weyl transforms. Matrices of the even Hamiltonians together with specifications of the complementary boundary conditions are detailed for the C-2 and G(2) even dual-weight models.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

    <a href="/en/project/GA19-19535S" target="_blank" >GA19-19535S: Fourier methods of special functions of affine Weyl groups</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2023

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    International Journal of Theoretical Physics

  • ISSN

    0020-7748

  • e-ISSN

    1572-9575

  • Volume of the periodical

    62

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    31

  • Pages from-to

    1-31

  • UT code for WoS article

    000949355000001

  • EID of the result in the Scopus database

    2-s2.0-85150719307