Towards a general solution to the linear Heisenberg problem

W.J. Caspers, T. Lulek, B. Lulek, A. Wal

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    Abstract

    The construction of a complete set of stationary states of the linear Heisenberg system with periodic boundary conditions (rings) has been a topic of intensive research for many decades. Many eminent theoreticians have made their contribution to this joint eort, but we should mention in the rst place the epoch-making work of Bethe 1 and Hulthen. 5 Their work is the basis of many papers on this topic that have appeared during the past 70 years. We do no have the intention to give a complete survey of all this work but we will try to indicate that especially an asymptotic approach starting from the Hypothesis of Strings gives the prospect of a general and complete solution of the Heisenberg chain.
    Original languageEnglish
    Title of host publicationSymmetry and Structural Properties of Condensed Matter
    Subtitle of host publicationProceedings of the 7th International School on Theoretical Physics
    EditorsT. Lulek, B. Lulek, A. Wal
    PublisherWorld Scientific
    Pages224-240
    ISBN (Electronic)978-981-4486-67-5
    ISBN (Print)978-981-238-272-6
    DOIs
    Publication statusPublished - 2003
    Event7th international School on Theoretical Physics - Mycskowce, Poland
    Duration: 11 Sep 200218 Sep 2002
    Conference number: 7

    Conference

    Conference7th international School on Theoretical Physics
    CountryPoland
    CityMycskowce
    Period11/09/0218/09/02

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  • Cite this

    Caspers, W. J., Lulek, T., Lulek, B., & Wal, A. (2003). Towards a general solution to the linear Heisenberg problem. In T. Lulek, B. Lulek, & A. Wal (Eds.), Symmetry and Structural Properties of Condensed Matter: Proceedings of the 7th International School on Theoretical Physics (pp. 224-240). World Scientific. https://doi.org/10.1142/9789812704474_0018