Abstract
Let \(\mathcal{H}(p,q;t)\)be the Hamiltonian of a mechanical system with N degrees of freedom. By the least action principle, an orbit t → (p(t), q(t)) in phase space \({\mathbb{R}}^{2N}\)is a solution of the Hamilton canonical equations if and only if it is a stationary point of the action
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2011 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
DiBenedetto, E. (2011). Canonical Transformations. In: Classical Mechanics. Cornerstones. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-4648-6_10
Download citation
DOI: https://doi.org/10.1007/978-0-8176-4648-6_10
Published:
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-4526-7
Online ISBN: 978-0-8176-4648-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)