Difference Calogero–Moser systems and finite Toda chains
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Publication:4836819
DOI10.1063/1.531122zbMath0851.70016OpenAlexW2096292992MaRDI QIDQ4836819
Publication date: 28 November 1996
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531122
Hamiltoniansroot systemselliptic potentialseight-parameter external fieldfour-parameter potentialsintegrable \(n\)-particle systems
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) General mathematical topics and methods in quantum theory (81Q99) Hamiltonian and Lagrangian mechanics (70H99)
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Cites Work
- Infinite series of Lie algebras and boundary conditions for integrable systems
- Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
- A new class of integrable systems and its relation to solitons
- Complete integrability of relativistic Calogero-Moser systems and elliptic function identities
- The finite Toda lattices
- Some finite dimensional integrable systems and their scattering behavior
- Integrable relativistic N-particle systems in an external potential
- Lax representation with spectral parameter on a torus for integrable particle systems
- Relativistic Toda systems
- Integrability of difference Calogero–Moser systems
- Boundary conditions for integrable quantum systems
