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On the correspondence between quantum and classical variational principles

Plasma Physics 2015-12-11 v1

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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Cite

@article{arxiv.1503.07819,
  title  = {On the correspondence between quantum and classical variational principles},
  author = {D. E. Ruiz and I. Y. Dodin},
  journal= {arXiv preprint arXiv:1503.07819},
  year   = {2015}
}

Comments

10 pages

R2 v1 2026-06-22T09:03:05.609Z