SOLVABILITY OF THE F4 INTEGRABLE SYSTEM

DOI10.1142/S0217751X0100550XzbMath1056.81035arXivhep-th/0108021OpenAlexW3125818713MaRDI QIDQ2783651

Konstantin G. Boreskov, Juan Carlos Lopez Vieyra, Alexander~V. Turbiner

Publication date: 17 October 2002

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

Full work available at URL: https://arxiv.org/abs/hep-th/0108021

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly and quasi-solvable systems arising in quantum theory (81U15) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (5)

Solvability of the Hamiltonians related to exceptional root spaces: rational case ⋮ THE QUANTUM H₄ INTEGRABLE SYSTEM ⋮ SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIATE POLYNOMIALS III: E₈ CASE ⋮ THE QUANTUM H₃ INTEGRABLE SYSTEM ⋮ Multidimensional quasi-exactly solvable potentials with two known eigenstates

Cites Work

• Quantum completely integrable systems connected with semi-simple Lie algebras
• Quasi-exactly-solvable problems and sl(2) algebra
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• QUASI-EXACTLY-SOLVABLE MANY-BODY PROBLEMS
• SOLVABILITY OF THE G₂ INTEGRABLE SYSTEM
• Hidden algebras of the (super) Calogero and Sutherland models
• Exact Solution of Long-Range Interacting Spin Chains with Boundaries
• A QUASI-EXACTLY SOLVABLE N-BODY PROBLEM WITH THE sl(N+1) ALGEBRAIC STRUCTURE

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