Mathieu transformation
The Mathieu transformations make up a subgroup of canonical transformations preserving the differential form
The transformation is named after the French mathematician Émile Léonard Mathieu.
Details[]
In order to have this invariance, there should exist at least one relation between and only (without any involved).
where . When a Mathieu transformation becomes a Lagrange point transformation.
See also[]
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.
Categories:
- Mechanics
- Hamiltonian mechanics
- Classical mechanics stubs