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Classical Mechanics, Second Edition, 2nd Edition
book

Classical Mechanics, Second Edition, 2nd Edition

by Tai L. Chow
May 2013
Intermediate to advanced content levelIntermediate to advanced
639 pages
23h 12m
English
CRC Press
Content preview from Classical Mechanics, Second Edition, 2nd Edition
599
Appendix 4: Noether’s Theorem
In Chapters 4 and 5, we note that symmetries of the Lagrangian or Hamiltonian gave rise to con-
stants of the motion; such parameters are of utmost importance in the analysis. However, the con-
stants of the motion do not always come from the obvious symmetries of the Lagrangian nor do they
always have a simple form. Often they are expressed by complicated functions of coordinates and
momenta, which are invariant in time.
It is therefore desirable to develop a general approach that is not limited by the specic details of a
given situation. Such a formalism was found in 1918 by the noted mathematician Emmy Noet
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Publisher Resources

ISBN: 9781466569980