An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Authors: Marchesiello, A., Šnobl, L.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209865
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Infinite Family of Maximally Superintegrable Systems in a Magnetic Field with Higher Order Integrals / A. Marchesiello, L. Šnobl // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 28 назв. — англ.

We construct an additional independent integral of motion for a class of three-dimensional minimally superintegrable systems with a constant magnetic field. This class was introduced in [J. Phys. A: Math. Theor. 50 (2017), 245202, 24 pages] and it is known to possess periodic closed orbits. In the p...