A class of completely integrable quantum systems associated with classical root systems
From MaRDI portal
Publication:855606
DOI10.1016/S0019-3577(05)80045-XzbMath1108.81030arXivmath-ph/0502019MaRDI QIDQ855606
Publication date: 7 December 2006
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0502019
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Groups and algebras in quantum theory and relations with integrable systems (81R12)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinite series of Lie algebras and boundary conditions for integrable systems
- Extension of the class of integrable dynamical systems connected with semisimple Lie algebras
- The finite Toda lattices
- A realization of Riemannian symmetric spaces
- Commuting families of symmetric differential operators
- Completely integrable systems with a symmetry in coordinates
- Commuting differential operators of rank two
- Lax representation with spectral parameter on a torus for integrable particle systems
- Completely integrable systems associated with classical root systems
- Separation of variables for the -type periodic Toda lattice
- On a Functional Differential Equation of Determinantal Type
- Integrability of difference Calogero–Moser systems
- Commuting Differential Operators of Type B2
- Difference Calogero–Moser systems and finite Toda chains
- On the symmetry of commuting differential operators with singularities along hyperplanes