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

M. Kuźma, B. Lulek and T. Lulek
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M. Kuźma: Pedagogical University, Institute of Physics
B. Lulek: Pedagogical University, Institute of Physics
T. Lulek: Pedagogical University, Institute of Physics

A chapter in Algebraic Combinatorics and Applications, 2001, pp 212-218 from Springer

Abstract: 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.

Keywords: Spectral Parameter; Configuration Space; Braid Group; Magnetic Configuration; Bethe Equation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_14

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DOI: 10.1007/978-3-642-59448-9_14

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