skip to main content

DOE PAGESDOE PAGES

Title: On the correspondence between quantum and classical variational principles

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.
Authors:
 [1] ;  [1]
  1. Princeton Univ., Princeton, NJ (United States). Dept. of Astrophysical Sciences
Publication Date:
OSTI Identifier:
1256635
Report Number(s):
PPPL--5145
Journal ID: ISSN 0375-9601; PII: S0375960115005332
Grant/Contract Number:
DE274-FG52-08NA28553; AC02-09CH11466; FA9550-11-C-0028
Type:
Accepted Manuscript
Journal Name:
Physics Letters. A
Additional Journal Information:
Journal Volume: 379; Journal Issue: 40-41; Journal ID: ISSN 0375-9601
Publisher:
Elsevier
Research Org:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS spinning particle; mechanics; electron; dynamics; plasma; waves