Variational formulation of linear time-dependent invariants

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1996 EDP Sciences
, , Citation O. Castaños et al 1996 EPL 33 497 DOI 10.1209/epl/i1996-00363-0

0295-5075/33/7/497

Abstract

It is shown that linear time-dependent invariants for arbitrary multidimensional 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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10.1209/epl/i1996-00363-0