On the explicit solutions of the elliptic Calogero system

DOI10.1063/1.533096zbMath0952.37017arXivsolv-int/9905011OpenAlexW3101615980MaRDI QIDQ4498526

A. M. Perelomov, Lyubomir Gavrilov

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9905011

zbMATH Keywords

integrable systemLax representationselliptic Calogero system

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relationships between algebraic curves and integrable systems (14H70)

Related Items (8)

Wannier functions for quasiperiodic finite-gap potentials ⋮ Elliptic solitons and Gröbner bases ⋮ \(\mathcal{N} = 2^*\) gauge theory, free fermions on the torus and Painlevé VI ⋮ Closed geodesics and billiards on quadrics related to elliptic KdV solutions ⋮ Covers of tori: genus two ⋮ An explicit characterization of Calogero–Moser systems ⋮ Exact solutions of a new elliptic Calogero-Sutherland model ⋮ Circular quiver gauge theories, isomonodromic deformations and \(W_N\) fermions on the torus

Cites Work

• Elliptic solutions of the Kadomtsev-Petviashvili equation and integrable systems of particles
• Geodesic flows on symmetric spaces of zero curvature and explicit solution of the generalized Calogero model for the classical case
• Explicit solutions of some completely integrable Hamiltonian systems
• The equations defining abelian varieties and modular functions
• Theta functions and non-linear equations

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