Factorized weight functions vs. factorized scattering

DOI10.1007/s002200200662zbMath1005.81090OpenAlexW1963576703MaRDI QIDQ1849335

Simon N. M. Ruijsenaars

Publication date: 1 December 2002

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200200662

zbMATH Keywords

Macdonald polynomialsmonomial symmetric functionsGram-Schmidt procedureCalogero-Sutherland systemquantum integrable soliton systemssymmetric \(N\)-variable polynomials

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Soliton equations (35Q51) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Orthogonal polynomials and functions associated with root systems (33C52)

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Spectrum and eigenfunctions of the lattice hyperbolic Ruijsenaars-Schneider system with exponential Morse term ⋮ The semi-infinite \(q\)-boson system with boundary interaction ⋮ Hypercomplex Fock states for discrete electromagnetic Schrödinger operators: a Bayesian probability perspective ⋮ Completeness of the Bethe ansatz for an open \(q\)-Boson system with integrable boundary interactions ⋮ An asymptotic formula for the Koornwinder polynomials ⋮ Integrable boundary interactions for Ruijsenaars' difference Toda chain ⋮ Diagonalization of the infinite \(q\)-boson system ⋮ Nonsymmetric difference Whittaker functions

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