Magnetic Configurations, Riggings, Bethe Ansatz and Robinson-Schensted-Knuth Algorithm

D. Golojuch, R. Bal and P. Jakubczyk
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D. Golojuch: The Pedagogical University, Institute of Physics
R. Bal: The Pedagogical University, Institute of Physics
P. Jakubczyk: The Pedagogical University, Institute of Physics

A chapter in Algebraic Combinatorics and Applications, 2001, pp 147-156 from Springer

Abstract: Abstract - dimensional Heinsenberg model of a magnet is considered. Ansatz approach. We provide here a combinatorial description of the following sets of interest: (i) the set of all magnetic configurations for the spin 1/2 and N = 10 crystal nodes, (ii) t he set of appropriate standard bitableaux, (iii) the set of all configurations of strings (i.e. systems of coupled spin deviations, defined in terms of a special collection of spectral parameters) and their riggings. An application of the Robinson - Schensted - Knuth algorithm is demonstrated.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-59448-9_11

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DOI: 10.1007/978-3-642-59448-9_11

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