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Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type

Willy Sarlet UGent, Geoff Prince, Tom Mestdag UGent and Olga Krupková (2012) JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 45(8).
abstract
We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
HELMHOLTZ CONDITIONS, INVERSE PROBLEM, CALCULUS
journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
J. Phys. A-Math. Theor.
volume
45
issue
8
article_number
085208
pages
13 pages
Web of Science type
Article
Web of Science id
000300606900010
JCR category
PHYSICS, MATHEMATICAL
JCR impact factor
1.766 (2012)
JCR rank
13/55 (2012)
JCR quartile
1 (2012)
ISSN
1751-8113
DOI
10.1088/1751-8113/45/8/085208
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2072811
handle
http://hdl.handle.net/1854/LU-2072811
alternative location
http://arxiv.org/pdf/1112.0162v1.pdf
date created
2012-03-22 15:49:30
date last changed
2012-04-10 16:12:15
@article{2072811,
  abstract     = {We extend the results obtained in a previous paper about a class of Lagrangian systems which admit alternative kinetic energy metrics to second-order mechanical systems with explicit time-dependence. The main results are that a time-dependent alternative metric will have constant eigenvalues, and will give rise to a time-dependent coordinate transformation which partially decouples the system.},
  articleno    = {085208},
  author       = {Sarlet, Willy and Prince, Geoff and Mestdag, Tom and Krupkov{\'a}, Olga},
  issn         = {1751-8113},
  journal      = {JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL},
  keyword      = {HELMHOLTZ CONDITIONS,INVERSE PROBLEM,CALCULUS},
  language     = {eng},
  number       = {8},
  pages        = {13},
  title        = {Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type},
  url          = {http://dx.doi.org/10.1088/1751-8113/45/8/085208},
  volume       = {45},
  year         = {2012},
}

Chicago
Sarlet, Willy, Geoff Prince, Tom Mestdag, and Olga Krupková. 2012. “Time-dependent Kinetic Energy Metrics for Lagrangians of Electromagnetic Type.” Journal of Physics A-mathematical and Theoretical 45 (8).
APA
Sarlet, Willy, Prince, G., Mestdag, T., & Krupková, O. (2012). Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45(8).
Vancouver
1.
Sarlet W, Prince G, Mestdag T, Krupková O. Time-dependent kinetic energy metrics for Lagrangians of electromagnetic type. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2012;45(8).
MLA
Sarlet, Willy, Geoff Prince, Tom Mestdag, et al. “Time-dependent Kinetic Energy Metrics for Lagrangians of Electromagnetic Type.” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 45.8 (2012): n. pag. Print.