172 citations · 3.5k across the 115 of their papers we have counts for
3 papers · 1 filter
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…
Non-relativistic anyons, exotic Galilean symmetry and noncommutative plane
Peter A. Horvathy, Mikhail S. Plyushchay
We show that the Lukierski et al. model, invariant with respect to the two-fold centrally extended Galilei group, can be decomposed into an infinite number of independent copies (d…