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Time dependent canonical transformations and the symmetry-equals-invariant theorem

Time dependent canonical transformations and the symmetry-equals-invariant theorem

Expressions for the remainder function of a time dependent infinitesimally generated canonical transformation have recently been found by Dewar, who considered the action of the transformation operators on Liouvilleā€™s equation. Here an alternate proof of the remainder function expression is given, based on the transformations of particle trajectories. Then, using ā€¦