Algebraic linearization of dynamics of Calogero type for any Coxeter group

DOI10.1063/1.533370zbMath0985.37061arXivhep-th/0001074OpenAlexW3099163978MaRDI QIDQ2738072

Raquel Caseiro, Jean-Pierre Françoise, Ryu Sasaki

Publication date: 30 August 2001

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

Full work available at URL: https://arxiv.org/abs/hep-th/0001074

zbMATH Keywords

Coxeter groupsperiodicityCalogero-Moser systemsLax matrixalgebraic linearizationRuijsenaars-SchneiderSutherland systems

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Many-body theory; quantum Hall effect (81V70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06)

Related Items (8)

On the superintegrability of the rational Ruijsenaars-Schneider model ⋮ Superintegrability of Calogero–Moser systems associated with the cyclic quiver ⋮ Quadratic algebra associated with rational Calogero-Moser models ⋮ Hierarchies of spin models related to Calogero-Moser models ⋮ Pendulum, elliptic functions, and relative cohomology classes ⋮ Explicit solutions of the classical Calogero and Sutherland systems for any root system ⋮ INVERSION OF A MAPPING ASSOCIATED WITH THE AOMOTO–FORRESTER SYSTEM ⋮ Master integrals, superintegrability and quadratic algebras

Cites Work

• Canonical partition function of Hamiltonian systems and the stationary phase formula
• Three integrable Hamiltonian systems connected with isospectral deformations
• Calogero-Moser Lax pairs with spectral parameter for general Lie algebras
• Calogero-Moser Models. V: Supersymmetry and Quantum Lax Pair

This page was built for publication: Algebraic linearization of dynamics of Calogero type for any Coxeter group