Galois symmetries of Bethe parameters for the Heisenberg pentagon

DOI10.1016/S0034-4877(13)60030-0zbMath1298.82018MaRDI QIDQ362114

B. Lulek, T. Lulek, Jan Milewski, Grzegorz Banaszak, Bogdan Szydło

Publication date: 20 August 2013

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0034487713600300

zbMATH Keywords

Bethe Ansatz parametersGalois symmetriesXXX model

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Separation of spherically and translationally covariant finite quantum spaces within the XXX model ⋮ 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

• Direct diagonalisation of the Heisenberg Hamiltonian for a magnetic ring within the two-deviation sector by means of the Chebyshev polynomials
• Galois Actions on the Eigenproblem of the Heisenberg Heptagon
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