Mathieu transformation
From Wikipedia, the free encyclopedia
Contents |
[edit] Definition
A subgroup of canonical transformations preserving invariance of the differential form
| ∑ | piδqi = | ∑ | PiδQi |
| i | i |
The transformation is named after the French mathematician Émile Léonard Mathieu.
[edit] Details
In order this invariance to be be preserved, there should exist at least one relation between qi and Qi only (without any pi,Pi involved).
where 
. When m = n Mathieu transformation becomes Lagrange point transformation.
[edit] See also
[edit] References
- Lanczos, Cornelius (1970). The Variational Principles of Mechanics. Toronto: University of Toronto Press. ISBN 0-8020-1743-6.
- Whittaker, Edmund. A Treatise on the Analytical Dynamics of Particles and Rigid Bodies.
 |
This classical mechanics-related article is a stub. You can help Wikipedia by expanding it. |
