Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model

DOI10.1063/1.2167807zbMath1111.81161arXivmath-ph/0406061OpenAlexW2017416599MaRDI QIDQ3438766

Edwin Langmann

Publication date: 16 May 2007

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

Full work available at URL: https://arxiv.org/abs/math-ph/0406061

Mathematics Subject Classification ID

Model quantum field theories (81T10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items

Representation of elliptic Ding-Iohara algebra ⋮ Source identities and kernel functions for deformed (quantum) Ruijsenaars models ⋮ Deformed Calogero-Sutherland model and fractional quantum Hall effect ⋮ Explicit solution of the (quantum) elliptic Calogero-Sutherland model ⋮ Series solutions of the non-stationary Heun equation ⋮ A commutative algebra on degenerate CP1 and Macdonald polynomials ⋮ Source identity and kernel functions for elliptic Calogero-Sutherland type systems ⋮ Kernel functions and Bäcklund transformations for relativistic Calogero-Moser and Toda systems

Cites Work

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• Algorithms to solve the (quantum) Sutherland model
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