On the correspondence between quantum and classical variational principles

D. E. Ruiz; I. Y. Dodin

doi:10.1016/j.physleta.2015.06.014

On the correspondence between quantum and classical variational principles

D. E. Ruiz, I. Y. Dodin

PPPL Theory

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14 Scopus citations

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 Schrödinger, Pauli, and Klein-Gordon particles.

Original language	English (US)
Pages (from-to)	2623-2630
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	379
Issue number	40-41
DOIs	https://doi.org/10.1016/j.physleta.2015.06.014
State	Published - Oct 23 2015

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

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10.1016/j.physleta.2015.06.014

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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 Schr{\"o}dinger, Pauli, and Klein-Gordon particles.",

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AB - 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 Schrödinger, Pauli, and Klein-Gordon particles.

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ER -

On the correspondence between quantum and classical variational principles

Abstract

All Science Journal Classification (ASJC) codes

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