93-55 Giuseppe GAETA

Lie-point symmetries in Mechanics (29K, Plain TeX) Mar 1, 93

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We present some remarks on the existence and the properties of Lie point symmetries of finite dimensional dynamical systems expressed either in Newton-Lagrange or in Hamilton form. We show that the only Lie symmetries admitted by Newton-Lagrange-type problems are essentially linear symmetries, and construct the most general problem admitting such a symmetry. In the case of Hamilton problems, we discuss the differences and the relationships between the existence of time-independent Lie point symmetries and the invariance properties of the Hamiltonian under coordinate transformations

Files: 93-55.tex