On the completeness of the set of Bethe-Hulthén solutions of the linear Heisenberg system

W.J. Caspers, M. Labuz, A. Wal

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    Abstract

    In this work we formulate the standard form of the solutions of the Heisenberg chain with periodic boundary conditions and show that these solutions can be transformed into the well-known Bethe-Hulthén solutions. The standard form is found by solving the secular problem, separated according to the irreducible representations of the translation group. The relevant parameters exp(ikj) of the Bethe-Hulthén solutions are found from a set of linear equations with coefficients derived from the standard solutions. This correspondence between standard and Bethe-Hulthén solutions realizes the completeness of the Bethe-Hulthén method.
    Original languageEnglish
    Pages (from-to)73-85
    JournalJournal of physics: Conference series
    Volume30
    DOIs
    Publication statusPublished - 2006
    EventSymmetry and Structural Properties of Condesed Matter, SSPCM 2005 - Myczkowce, Poland
    Duration: 31 Aug 20057 Sep 2005

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    completeness
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    Cite this

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    title = "On the completeness of the set of Bethe-Hulth{\'e}n solutions of the linear Heisenberg system",
    abstract = "In this work we formulate the standard form of the solutions of the Heisenberg chain with periodic boundary conditions and show that these solutions can be transformed into the well-known Bethe-Hulth{\'e}n solutions. The standard form is found by solving the secular problem, separated according to the irreducible representations of the translation group. The relevant parameters exp(ikj) of the Bethe-Hulth{\'e}n solutions are found from a set of linear equations with coefficients derived from the standard solutions. This correspondence between standard and Bethe-Hulth{\'e}n solutions realizes the completeness of the Bethe-Hulth{\'e}n method.",
    author = "W.J. Caspers and M. Labuz and A. Wal",
    year = "2006",
    doi = "10.1088/1742-6596/30/1/011",
    language = "English",
    volume = "30",
    pages = "73--85",
    journal = "Journal of physics: Conference series",
    issn = "1742-6588",
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    On the completeness of the set of Bethe-Hulthén solutions of the linear Heisenberg system. / Caspers, W.J.; Labuz, M.; Wal, A.

    In: Journal of physics: Conference series, Vol. 30, 2006, p. 73-85.

    Research output: Contribution to journalConference articleAcademic

    TY - JOUR

    T1 - On the completeness of the set of Bethe-Hulthén solutions of the linear Heisenberg system

    AU - Caspers, W.J.

    AU - Labuz, M.

    AU - Wal, A.

    PY - 2006

    Y1 - 2006

    N2 - In this work we formulate the standard form of the solutions of the Heisenberg chain with periodic boundary conditions and show that these solutions can be transformed into the well-known Bethe-Hulthén solutions. The standard form is found by solving the secular problem, separated according to the irreducible representations of the translation group. The relevant parameters exp(ikj) of the Bethe-Hulthén solutions are found from a set of linear equations with coefficients derived from the standard solutions. This correspondence between standard and Bethe-Hulthén solutions realizes the completeness of the Bethe-Hulthén method.

    AB - In this work we formulate the standard form of the solutions of the Heisenberg chain with periodic boundary conditions and show that these solutions can be transformed into the well-known Bethe-Hulthén solutions. The standard form is found by solving the secular problem, separated according to the irreducible representations of the translation group. The relevant parameters exp(ikj) of the Bethe-Hulthén solutions are found from a set of linear equations with coefficients derived from the standard solutions. This correspondence between standard and Bethe-Hulthén solutions realizes the completeness of the Bethe-Hulthén method.

    U2 - 10.1088/1742-6596/30/1/011

    DO - 10.1088/1742-6596/30/1/011

    M3 - Conference article

    VL - 30

    SP - 73

    EP - 85

    JO - Journal of physics: Conference series

    JF - Journal of physics: Conference series

    SN - 1742-6588

    ER -