Iterative construction of eigenfunctions of the monodromy matrix for $SL(2,\mathbb {C})$ magnet

DOI10.1088/1751-8113/47/30/305204zbMath1305.82014arXiv1401.7477OpenAlexW3122829586MaRDI QIDQ2876347

Sergey E. Derkachov, Alexander N. Manashov

Publication date: 18 August 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7477

zbMATH Keywords

separation of variablesspin chainsBaxter's operators

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Statistical mechanics of magnetic materials (82D40) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Yang-Baxter equations (16T25)

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