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Bethe Ansatz: Quasi-particles, Spectral Parameters and the Hypothesis of Strings

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Algebraic Combinatorics and Applications
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Abstract

Some combinatoric and physical aspects of two forms of the Bethe Ansatz formalisms have been presented. The first approach expressed in the terms of quasi-momenta p α leads to a set of transcendental equations whose solutions are very tedious to find. Therefore for decreasing these difficulties the second approach is formulated consisting in the transformation of Bethe equations to a combinatoric set of equations for the spectral parameters. In the asymptotic limit the Bethe Ansatz solutions satisfy the hypothesis of strings.

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Kuźma, M., Lulek, B., Lulek, T. (2001). Bethe Ansatz: Quasi-particles, Spectral Parameters and the Hypothesis of Strings. In: Betten, A., Kohnert, A., Laue, R., Wassermann, A. (eds) Algebraic Combinatorics and Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59448-9_14

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  • DOI: https://doi.org/10.1007/978-3-642-59448-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41110-9

  • Online ISBN: 978-3-642-59448-9

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