From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2013
• Main Author: Turbiner, A.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2013
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149207
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: From Quantum AN to E₈ Trigonometric Model: Space-of-Orbits View / A.V. Turbiner // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 24 назв. — англ.

A number of affine-Weyl-invariant integrable and exactly-solvable quantum models with trigonometric potentials is considered in the space of invariants (the space of orbits). These models are completely-integrable and admit extra particular integrals. All of them are characterized by (i) a number of...