An exactly solvable Calogero model for a non-integrally laced group

DOI10.1016/S0375-9601(00)00567-3zbMath1115.81356MaRDI QIDQ998051

Reidun Twarock

Publication date: 10 August 2007

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

Calogero modelaffine extensionnoncrystallographic Coxeter groups

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (2)

Affine Toda field theories related to Coxeter groups of noncrystallographic type ⋮ Three Fibonacci-chain aperiodic algebras

Cites Work

• Quantum completely integrable systems connected with semi-simple Lie algebras
• Multidimensional Baker-Akhiezer functions and Huygens' principle
• New integrable generalizations of Calogero–Moser quantum problem
• New integrable deformations of the Calogero-Moser quantum problem
• Affine extension of noncrystallographic Coxeter groups and quasicrystals
• Hidden algebras of the (super) Calogero and Sutherland models
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