Direct diagonalisation of the Heisenberg Hamiltonian for a magnetic ring within the two-deviation sector by means of the Chebyshev polynomials

DOI10.1016/S0034-4877(12)60050-0zbMath1275.82004MaRDI QIDQ1942977

Jan Milewski

Publication date: 14 March 2013

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

zbMATH Keywords

Chebyshev polynomialsBethe parametersHeisenberg ring

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Best approximation, Chebyshev systems (41A50) Exactly solvable models; Bethe ansatz (82B23) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Related Items (6)

Galois symmetries of Bethe parameters for the Heisenberg pentagon ⋮ Separation of spherically and translationally covariant finite quantum spaces within the XXX model ⋮ A Maple package for combinatorial aspects of Bethe ansatz ⋮ Galois symmetry of energy levels of the XXX model for the case of octagonal two-magnon states on the generic star of quasimomentum ⋮ Analytical and combinatorial aspects of the eigenproblem for the two-magnon sector of XXX Heisenberg rings ⋮ On application of the Jucys-Murphy operators in the Hubbard model of solids

Cites Work

• Some Exact Results for the Many-Body Problem in one Dimension with Repulsive Delta-Function Interaction
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