A q-difference Baxter operator for the Ablowitz–Ladik chain

DOI10.1088/1751-8113/48/12/125205zbMath1312.81069arXiv1508.01754OpenAlexW3098904423MaRDI QIDQ5245650

Federico Zullo

Publication date: 14 April 2015

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

Full work available at URL: https://arxiv.org/abs/1508.01754

zbMATH Keywords

Bäcklund transformationsAblowitz-Ladik modelBaxter's equationBaxter's operator

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Lattice functional-differential equations (34K31)

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