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.
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PACS: 05.45.-a; 02.30.Ik
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Cimpoiasu, R., Constantinescu, R. Lie Symmetries for Hamiltonian Systems Methodological Approach. Int J Theor Phys 45, 1769–1782 (2006). https://doi.org/10.1007/s10773-006-9142-z
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DOI: https://doi.org/10.1007/s10773-006-9142-z