A Discrete Analogue of Periodic Delta Bose Gas and Affine Hecke Algebra

DOI10.1619/fesi.57.107zbMath1310.39004arXiv1209.2758OpenAlexW2964072275MaRDI QIDQ5418802

Yoshihiro Takeyama

Publication date: 28 May 2014

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2758

zbMATH Keywords

eigenvalueHamiltonianpolymerBethe ansatzeigenfunctionHall-Littlewood polynomialsaffine Hecke algebradelta Bose gas

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Statistical mechanics of polymers (82D60) Groups and algebras in quantum theory and relations with integrable systems (81R12) Discrete version of topics in analysis (39A12) Statistical mechanics of gases (82D05)

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Combinatorial properties of symmetric polynomials from integrable vertex models in finite lattice ⋮ Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz ⋮ On a family of symmetric rational functions

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