On the correspondence between quantum and classical variational principles

Ruiz, D. E.; Dodin, I. Y.

doi:10.1016/j.physleta.2015.06.014

Title: On the correspondence between quantum and classical variational principles

Journal Article · Wed Jun 10 00:00:00 EDT 2015 · Physics Letters. A

DOI:https://doi.org/10.1016/j.physleta.2015.06.014· OSTI ID:1256635

^[1]; Dodin, I. Y. ^[1]

Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences

Here, 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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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: DE274-FG52-08NA28553; AC02-09CH11466; FA9550-11-C-0028

OSTI ID:: 1256635

Alternate ID(s):: OSTI ID: 1359746

Report Number(s):: PPPL-5145; PII: S0375960115005332

Journal Information:: Physics Letters. A, Vol. 379, Issue 40-41; ISSN 0375-9601

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 11 works

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