English

Integrable and superintegrable systems with higher order integrals of motion: master function formalism

Mathematical Physics 2017-10-13 v1 math.MP

Abstract

In this article, we construct two-dimensional integrable and superintegrable sys- tems in terms of the master function formalism and relate them to Mielnik;s and Marquette;s construction in supersymmetric quantum mechanics. For two diferent cases of the master functions, we obtain two diferent two-dimensional superintegrable systems with higher order integrals of motion.

Keywords

Cite

@article{arxiv.1710.04305,
  title  = {Integrable and superintegrable systems with higher order integrals of motion: master function formalism},
  author = {Z. Alizadeh and H. Panahi},
  journal= {arXiv preprint arXiv:1710.04305},
  year   = {2017}
}

Comments

18 Pages

R2 v1 2026-06-22T22:10:50.549Z