SOLVABILITY OF THE G2 INTEGRABLE SYSTEM

DOI10.1142/S0217751X98001815zbMath0932.37052arXivsolv-int/9707005MaRDI QIDQ4261936

Antonio Capella, Marcos Rosenbaum, Alexander~V. Turbiner

Publication date: 29 September 1999

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9707005

zbMATH Keywords

HamiltonianLie algebrasymmetric functionseigenstatestrigonometric \(G_2\) integrable system

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Many-body theory; quantum Hall effect (81V70) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

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Cites Work

• Quantal problems with partial algebraization of the spectrum
• Quantum completely integrable systems connected with semi-simple Lie algebras
• New quasi-exactly solvable Hamiltonians in two dimensions
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• QUASI-EXACTLY-SOLVABLE MANY-BODY PROBLEMS
• Hidden algebras of the (super) Calogero and Sutherland models
• On the construction of quasi-exactly solvable Schrödinger operators on homogeneous spaces