Quasi-exactly solvable models as constrained systems

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).

8 pages, no figures

References in corpus (2)

• Nonlinear holomorphic supersymmetry, Dolan-Grady relations and Onsager algebra
• Quasi-exact solvability and intertwining relations