Solvability of the Hamiltonians related to exceptional root spaces: rational case

DOI10.1007/s00220-005-1401-yzbMath1091.81039arXivhep-th/0407204OpenAlexW2094024074MaRDI QIDQ818606

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

Publication date: 21 March 2006

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

Full work available at URL: https://arxiv.org/abs/hep-th/0407204

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Related Items (8)

Solvability of the Hamiltonians related to exceptional root spaces: rational case ⋮ The Lie algebra of the lowest transitively differential group of degree three ^* ⋮ THE QUANTUM H₄ INTEGRABLE SYSTEM ⋮ SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIATE POLYNOMIALS III: E₈ CASE ⋮ One-dimensional quasi-exactly solvable Schrödinger equations ⋮ A unified construction of generalized classical polynomials associated with operators of Calogero-Sutherland type ⋮ THE QUANTUM H₃ INTEGRABLE SYSTEM ⋮ SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIABLE POLYNOMIALS II: E₇ CASE

Cites Work

• Unnamed Item
• Unnamed Item
• Solvability of the Hamiltonians related to exceptional root spaces: rational case
• Quantum completely integrable systems connected with semi-simple Lie algebras
• Quasi-exactly-solvable problems and sl(2) algebra
• On the connection of matrix elements of the SU(1,1) discrete series representations with SU(2) matrix elements
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• QUASI-EXACTLY-SOLVABLE MANY-BODY PROBLEMS
• SOLVABILITY OF THE F₄ INTEGRABLE SYSTEM
• Lame equation, sl(2) algebra and isospectral deformations
• Wave front evolution and equivariant Morse lemma
• SOLVABILITY OF THE G₂ INTEGRABLE SYSTEM
• Hidden algebras of the (super) Calogero and Sutherland models
• Quasi-Exactly Solvable Hamiltonians related to Root Spaces
• Exact solutions of a new elliptic Calogero-Sutherland model

This page was built for publication: Solvability of the Hamiltonians related to exceptional root spaces: rational case