On the structure of solutions of the elliptic Calogero-Moser many-particle problem

DOI10.1134/S1560354719020059zbMath1425.81049OpenAlexW2939327280MaRDI QIDQ2330020

V. I. Inozemtsev

Publication date: 18 October 2019

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1560354719020059

zbMATH Keywords

integrabilitythree-particle problemRiemann theta functions

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) Theta functions and abelian varieties (14K25) Operator algebra methods applied to problems in quantum theory (81R15) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Three integrable Hamiltonian systems connected with isospectral deformations
• Zonal spherical functions on some symmetric spaces
• Commutative rings of partial differential operators and Lie algebras

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