Algorithms to solve the (quantum) Sutherland model

DOI10.1063/1.1389472zbMath1012.81022arXivmath-ph/0104039OpenAlexW1499634202MaRDI QIDQ2775026

Edwin Langmann

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0104039

zbMATH Keywords

elliptic generalizationindistinguishable particlestwo-body potentials

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (8)

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 unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type ⋮ Source identity and kernel functions for elliptic Calogero-Sutherland type systems ⋮ Remarkable identities related to the (quantum) elliptic Calogero-Sutherland model ⋮ Source identity and kernel functions for Inozemtsev-type systems

Cites Work

• Some combinatorial properties of Jack symmetric functions
• Anyons and the elliptic Calogero-Sutherland model

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