Orthogonal polynomials and the finite Toda lattice

DOI10.1063/1.531840zbMath0873.46023OpenAlexW2123481615MaRDI QIDQ2785745

Alex Kasman

Publication date: 27 October 1997

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

Full work available at URL: https://semanticscholar.org/paper/bd41977f327b78e5c5e6d2424b8680a2eae9111d

zbMATH Keywords

orthogonal basisToda hierarchyfinitely supported distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Quantum field theory on lattices (81T25) Applications of functional analysis in quantum physics (46N50)

Related Items (2)

\(\tau\)-functions, Birkhoff factorizations and difference equations ⋮ Schur flow for orthogonal polynomials on the unit circle and its integrable discretization

Cites Work

• Loop groups and equations of KdV type
• Bispectral KP solutions and linearization of Calogero-Moser particle systems
• A tau-function of the finite nonperiodic Toda lattice
• Darboux-Bäcklund solutions of \(\text{SL}(p,q)\) KP-KdV hierarchies, constrained generalized Toda lattices, and two-matrix string model
• Time-Dependent Orthogonal Polynomials and Theory of Soliton –Applications to Matrix Model, Vertex Model and Level Statistics

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