Variational Formulation of Linear Time-Dependent Invariants
O. Castaños, R. López-Peña, V. I. Man'ko
Abstract
It is shown that linear time-dependent invariants for arbitrary multi\-dimensional quadratic systems can be obtained from the Lagrangian and Hamiltonian formulation procedures by considering a variation of coordinates and momenta that follows the classical trajectory and defines a noetherian symmetry transformation.
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