Algebraic exact solvability of trigonometric-type Hamiltonians associated to root systems

DOI10.1063/1.533012zbMath1063.37541arXivsolv-int/9810017OpenAlexW3103586059MaRDI QIDQ4498411

Niky Kamran, Robert Milson

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/solv-int/9810017

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Exactly and quasi-solvable systems arising in quantum theory (81U15) Orthogonal polynomials and functions associated with root systems (33C52)

Cites Work

• New quasi-exactly solvable Hamiltonians in two dimensions
• Quasi-exactly-solvable problems and sl(2) algebra
• EXACT SOLVABILITY OF THE CALOGERO AND SUTHERLAND MODELS
• Some properties of the Calogero - Sutherland model with reflections
• Explicit solution of the quantum three-body Calogero - Sutherland model
• Eigenstates of Calogero–Sutherland–Moser model and generalized Schur functions
• Hidden algebras of the (super) Calogero and Sutherland models
• Real Lie algebras of differential operators and quasi-exactly solvable potentials

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