A nonseparable quantum superintegrable system in 2D real Euclidean space
Mathematical Physics
2015-05-27 v1 math.MP
Abstract
In this paper, we derive a nonseparable quantum superintegrable system in 2D real Euclidean space. The Hamiltonian admits no second order integrals of motion but does admit one third and one fourth order integral. We also obtain a classical superintegrable system with the same properties. The quantum system differs from the classical one by corrections proportional to
Keywords
Cite
@article{arxiv.1101.5405,
title = {A nonseparable quantum superintegrable system in 2D real Euclidean space},
author = {Sarah Post and Pavel Winternitz},
journal= {arXiv preprint arXiv:1101.5405},
year = {2015}
}