Polynomial forms for quantum elliptic Calogero-Moser Hamiltonians

DOI10.1134/S004057791704002XzbMath1369.81128OpenAlexW2611880490WikidataQ114075211 ScholiaQ114075211MaRDI QIDQ2014512

M. G. Matushko, Vladimir Sokolov

Publication date: 25 August 2017

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s004057791704002x

zbMATH Keywords

universal enveloping algebraelliptic Calogero-Moser Hamiltonian

Mathematics Subject Classification ID

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

Cites Work

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• Collective field theory, Calogero-Sutherland model and generalized matrix models
• \(gl(\lambda)\) and differential operators preserving polynomials
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• Dunkl Operators at Infinity and Calogero–Moser Systems
• Quasi-exact-solvability of the ${{A}_{2}}/{{G}_{2}}$ elliptic model: algebraic forms, $sl(3)/{{g}^{(2)}}$ hidden algebra, and polynomial eigenfunctions

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