SO(4)-symmetry of mechanical systems with 3 degrees of freedom

Sofiane Bouarroudj, Semyon E. Konstein

Research output: Contribution to journalArticle

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 (Figure presented.) (4) by means of the Poisson brackets? A system which is not centrally symmetric, but has 6 first integrals generating Lie algebra (Figure presented.) (4), is presented. It is shown also that not every mechanical system with 3 degrees of freedom has first integrals generating (Figure presented.) (4).

Original languageEnglish (US)
Pages (from-to)162-169
Number of pages8
JournalJournal of Nonlinear Mathematical Physics
Volume27
Issue number1
DOIs
StatePublished - Jan 2 2020

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First Integral
Mechanical Systems
Figure
degrees of freedom
Degree of freedom
Symmetry
Lie Algebra
algebra
symmetry
Coulomb Systems
Poisson Bracket
brackets

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

SO(4)-symmetry of mechanical systems with 3 degrees of freedom. / Bouarroudj, Sofiane; Konstein, Semyon E.

In: Journal of Nonlinear Mathematical Physics, Vol. 27, No. 1, 02.01.2020, p. 162-169.

Research output: Contribution to journalArticle

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