Quasi-exactly solvable models as constrained systems

2009/12/15 by Sergey M. Klishevich, Klishevich, Sergey
Mathematics · Physics and Astronomy · #34L40 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0912.2857

openalex publication_date 2009/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss a universal algebraic approach to quasi-exactly solvable models which allows us to interpret them as constrained Hamiltonian systems with a finite number of physical states. Using this approach we reproduce well-known two-dimensional Lie-algebraic quasi-exactly solvable system based on Lie algebra su(3).

Citations

• Quasi-exact solvability and intertwining relations

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