Journal
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
Volume 48, Issue 9, Pages 2665-2671Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10773-009-0055-5
Keywords
Conformal symmetry; Conserved quantity; Determining equation; Generalized Hamilton system
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In this paper the generalized conformal symmetries and conserved quantities by Lie point transformations of Hamilton systems are studied. The necessary and sufficient conditions of conformal symmetry by the action of infinitesimal Lie point transformations which are simultaneous Lie symmetry are given. This kind type determining equations of conformal symmetry of mechanical systems are studied. The Hojman conserved quantities of the Hamilton systems under infinitesimal special transformations are obtained. The relations between conformal symmetries and the Lie symmetries are derived for Hamilton systems. Finally, as application of the conformal symmetries, an illustration example is introduced.
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