q-bosons, Toda lattice, Pieri rules and Baxterq-operator

DOI10.1088/1751-8113/49/15/154006zbMath1351.37257OpenAlexW2327671498MaRDI QIDQ3186558

Antoine Duval, Vincent Pasquier

Publication date: 10 August 2016

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

Full work available at URL: https://doi.org/10.1088/1751-8113/49/15/154006

zbMATH Keywords

integrable systemsToda latticeQ-matrixPieri rulesq-bosons

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lattice dynamics; integrable lattice equations (37K60) Yang-Baxter equations (16T25)

Related Items (6)

Spectrum and orthogonality of the Bethe ansatz for the periodic \(q\)-difference Toda chain on \(\mathbb{Z}_{m+1}\) ⋮ Exactly solved models and beyond: a special issue in honour of R J Baxter’s 75th birthday ⋮ Spectral analysis of an open \(q\)-difference Toda chain with two-sided boundary interactions on the finite integer lattice ⋮ Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice ⋮ Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions ⋮ The open XXX spin chain in the SoV framework: scalar product of separate states

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