On the correspondence between quantum and
classical
variational principles
Authors: D. E. Ruiz and I. Y. Dodin
Abstract: Classical variational principles can
be deduced from quantum variational principles via formal
reparameterization of the latter. It is shown that such
reparameterization is possible without invoking any assumptions
other than classicality and without appealing to dynamical
equations. As examples, first principle variational formulations
of classical point-particle and cold-fluid motion are derived from
their quantum counterparts for Schrodinger, Pauli, and
Klein-Gordon particles.
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Submitted to: Physical Review A
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