Volume 27, Issue 1, October 2019, Pages 162 - 169
SO(4)-symmetry of mechanical systems with 3 degrees of freedom
Authors
Sofiane Bouarroudj
New York University Abu Dhabi, Division of Science and Mathematics, P.O. Box 129188, United Arab Emirates,sofiane.bouarroudj@nyu.edu
Semyon E. Konstein*
I.E.Tamm department of Theoretical Physics, P.N. Lebedev Physical Institute of the Russian Academy of Sciences, Leninskij prosp. 53, RU-119991 Moscow, Russia,konstein@lpi.ru
*Corresponding author
Corresponding Author
Semyon E. Konstein
Received 30 May 2019, Accepted 20 July 2019, Available Online 25 October 2019.
- DOI
- 10.1080/14029251.2020.1683997How to use a DOI?
- Abstract
We answered an old question: does there exist a mechanical system with 3 degrees of freedom, except for the Coulomb system, which has 6 first integrals generating the Lie algebra π¬(4) by means of the Poisson brackets? A system which is not centrally symmetric, but has 6 first integrals generating Lie algebra π¬(4), is presented. It is shown also that not every mechanical system with 3 degrees of freedom has first integrals generating π¬(4).
- Copyright
- Β© 2020 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Sofiane Bouarroudj AU - Semyon E. Konstein PY - 2019 DA - 2019/10/25 TI - SO(4)-symmetry of mechanical systems with 3 degrees of freedom JO - Journal of Nonlinear Mathematical Physics SP - 162 EP - 169 VL - 27 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1683997 DO - 10.1080/14029251.2020.1683997 ID - Bouarroudj2019 ER -