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

In: Algebraic Combinatorics and Applications

Author

Listed:
  • D. Golojuch

    (The Pedagogical University, Institute of Physics)

  • R. Bal

    (The Pedagogical University, Institute of Physics)

  • P. Jakubczyk

    (The Pedagogical University, Institute of Physics)

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.

Suggested Citation

  • D. Golojuch & R. Bal & P. Jakubczyk, 2001. "Magnetic Configurations, Riggings, Bethe Ansatz and Robinson-Schensted-Knuth Algorithm," Springer Books, in: Anton Betten & Axel Kohnert & Reinhard Laue & Alfred Wassermann (ed.), Algebraic Combinatorics and Applications, pages 147-156, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-59448-9_11
    DOI: 10.1007/978-3-642-59448-9_11
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