SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIATE POLYNOMIALS III: E8 CASE

DOI10.1142/S0217751X11053018zbMath1333.81183arXiv1012.1902MaRDI QIDQ3005788

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

Publication date: 9 June 2011

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

Full work available at URL: https://arxiv.org/abs/1012.1902

zbMATH Keywords

solvabilityHamiltonian reductiontrigonometric systemhidden algebraalgebraic form\(E_{8}\) highest root\(E_{8}\) trigonometric invariantsWeyl (co)vector

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Exactly and quasi-solvable systems arising in quantum theory (81U15) Special quantum systems, such as solvable systems (81Q80)

Related Items (1)

One-dimensional quasi-exactly solvable Schrödinger equations

Cites Work

• Solvability of the Hamiltonians related to exceptional root spaces: rational case
• Quasi-exactly-solvable problems and sl(2) algebra
• Quantum Calogero-Moser models: integrability for all root systems
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• SOLVABILITY OF THE F₄ INTEGRABLE SYSTEM
• THE QUANTUM H₃ INTEGRABLE SYSTEM
• The maximal subgroups of the classical groups
• An infinite family of solvable and integrable quantum systems on a plane
• SUTHERLAND-TYPE TRIGONOMETRIC MODELS, TRIGONOMETRIC INVARIANTS AND MULTIVARIABLE POLYNOMIALS II: E₇ CASE
• SOLVABILITY OF THE G₂ INTEGRABLE SYSTEM
• Hidden algebras of the (super) Calogero and Sutherland models
• THE QUANTUM H₄ INTEGRABLE SYSTEM

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