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Lie Symmetries for Hamiltonian Systems Methodological Approach
Authors:Rodica Cimpoiasu  Radu Constantinescu
Affiliation:(1) University of Craiova, Craiova, Romania;(2) University of Craiova, 13 A.I.Cuza, 200585 Craiova, Romania
Abstract:This paper proposes an algorithm for the Lie symmetries investigation in the case of a 2D Hamiltonian system. General Lie operators are deduced firstly and, in the the next step, the associated Lie invariants are derived. The 2D Yang-Mills mechanical model is chosen as a test model for this method. PACS: 05.45.-a; 02.30.Ik
Keywords:Lie symmetries  invariants  Yang-Mills mechanical model
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