85 citations · 273 across the 11 of their papers we have counts for
11 papers
Quasi-exactly solvable models as constrained systems
Sergey Klishevich
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 sta…
Matrix equations and trilinear commutation relations
Sergey Klishevich
In this paper we discuss a general algebraic approach to treating static equations of matrix models with a mass-like term. In this approach the equations of motions are considered…
Additional restrictions on quasi-exactly solvable systems
Sergey Klishevich
In this paper we discuss constraints on two-dimensional quantum-mechanical systems living in domains with boundaries. The constrains result from the requirement of hermicity of cor…
Quasi-exact solvability and intertwining relations
Sergey Klishevich
We emphasize intertwining relations as a universal tool in constructing one-dimensional quasi-exactly solvable operators and offer their possible generalization to the multidimensi…
Dolan-Grady Relations and Noncommutative Quasi-Exactly Solvable Systems
Sergey M. Klishevich, Mikhail S. Plyushchay
We investigate a U(1) gauge invariant quantum mechanical system on a 2D noncommutative space with coordinates generating a generalized deformed oscillator algebra. The Hamiltonian…
Nonlinear Holomorphic Supersymmetry on Riemann Surfaces
Sergey M. Klishevich, Mikhail S. Plyushchay
We investigate the nonlinear holomorphic supersymmetry for quantum-mechanical systems on Riemann surfaces subjected to an external magnetic field. The realization is shown to be po…