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

Authors :
Nucci, M. C.
Campoamor-Stursberg, R.
Source :
Journal of Mathematical Physics. Jan2021, Vol. 62 Issue 1, p1-13. 13p.
Publication Year :
2021

Abstract

All maximally superintegrable Hamiltonian systems in three-dimensional flat space derived in the work of Evans [Phys. Rev. A 41, 5666–5676 (1990)] are shown to possess hidden symmetries leading to their linearization, likewise the maximally superintegrable Hamiltonian systems in two-dimensional flat space as shown in the work of Gubbiotti and Nucci [J. Math. Phys. 58, 012902 (2017)]. We conjecture that even minimally superintegrable systems in three-dimensional flat space have hidden symmetries that make them linearizable. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SPACE
*MATHEMATICS

Details

Language :
English
ISSN :
00222488
Volume :
62
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
148385631
Full Text :
https://doi.org/10.1063/5.0007377