A Maple package for combinatorial aspects of Bethe ansatz

DOI10.1016/j.cpc.2020.107720OpenAlexW3111753807MaRDI QIDQ6101361

P. Jakubczyk, Andrzej Wal, Michał Kaczor, Dorota Jakubczyk, M. Łabuz, Jan Milewski

Publication date: 31 May 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2020.107720

zbMATH Keywords

stratificationRSK algorithmsymmetry adapted basiscombinatorial Bethe ansatzduality of WeylRSK transformthe basis of wavelets

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Exactly solvable models; Bethe ansatz (82B23) Statistical mechanics of magnetic materials (82D40) Software, source code, etc. for problems pertaining to statistical mechanics (82-04)

Related Items (1)

Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum

Cites Work

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• The idempotents of the symmetric group and Nakayama's conjecture
• The Bethe Ansatz and the combinatorics of Young tableaux
• An extension of Schensted's theorem
• Direct diagonalisation of the Heisenberg Hamiltonian for a magnetic ring within the two-deviation sector by means of the Chebyshev polynomials
• Coherent states, wavelets and their generalizations
• Permutations, matrices, and generalized Young tableaux
• Longest Increasing and Decreasing Subsequences
• Optimal sequence of quantum measurements in the sense of Stein s lemma in quantum hypothesis testing

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