Abstract
The existence, number and type of the constants of motion in non-relativistic mechanics are examined for different set-ups of Newton's equations in configuration space, the Noetherian symmetries in the Lagrangian formulation, the Hamiltonian formulation and the Schrodinger equation in quantum theory and are found to be equivalent and exhaustive, as already known. Time-dependent constants are shown to be arbitrary, but nevertheless amenable to the general symmetry methods of Katzin, Levine (1977) and Mariwalla (1979).
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