Minimally superintegrable systems in flat three-dimensional space are also linearizable-Reference-Cited by-同舟云学术

Minimally superintegrable systems in flat three-dimensional space are also linearizable

Published:2022-12-01 Issue:12 Volume:63 Page:123510
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Nucci M. C.¹^ORCID,Campoamor-Stursberg R.²^ORCID

Affiliation:

1. Dipartimento di Matematica, Università di Bologna, 40126 Bologna, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Perugia, Via A. Pascoli, 06123 Perugia, Italy

2. Instituto de Matemática Interdisciplinar and Fac. CC. Matemáticas UCM, Pza. Ciencias 3, E-28040 Madrid, Spain

Abstract

It is shown that all minimally superintegrable Hamiltonian systems in a three-dimensional flat space derived in the work of Evans [Phys. Rev. A 41, 5666–5676 (1990)] possess hidden symmetries leading to their linearization.

Funder

AEI/FEDER

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0086431

Reference10 articles.

1. Lie symmetries and superintegrability

2. Are all classical superintegrable systems in two-dimensional space linearizable?

3. Maximally superintegrable systems in flat three-dimensional space are linearizable

4. Superintegrable systems in non-Euclidean plane: Hidden symmetries leading to linearity

5. The complete Kepler group can be derived by Lie group analysis

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Linearity of minimally superintegrable systems in a static electromagnetic field;Journal of Physics A: Mathematical and Theoretical;2023-06-27