On the correspondence between quantum and classical variational principles

TY - JOUR

T1 - On the correspondence between quantum and classical variational principles

AU - Ruiz, D. E.

AU - Dodin, I. Y.

N1 - Publisher Copyright: © 2015 Elsevier B.V. All rights reserved.

PY - 2015/10/23

Y1 - 2015/10/23

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/84940459357

UR - https://www.scopus.com/pages/publications/84940459357#tab=citedBy

U2 - 10.1016/j.physleta.2015.06.014

DO - 10.1016/j.physleta.2015.06.014

M3 - Article

SN - 0375-9601

VL - 379

SP - 2623

EP - 2630

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 40-41

ER -