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

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.523232· OSTI ID:5460133

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 Liouville's equation. Here an alternate proof of the remainder function expression is given, based on the transformations of particle trajectories. Then, using this expression, a proof of the symmetry-equals-invariant theorem is given.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
OSTI ID:
5460133
Journal Information:
J. Math. Phys. (N.Y.); (United States), Vol. 18:12
Country of Publication:
United States
Language:
English