Abstract
From the perturbative procedure in the last chapter we have learned that in the proximity of resonances of the unperturbed system, resonant denominators appear in the expression for the adiabatic invariants. We now wish to begin to locally remove such resonances by trying, with the help of a canonical transformation, to go to a coordinate system which rotates with the resonant frequency.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Dittrich, W., Reuter, M. (2016). Removal of Resonances. In: Classical and Quantum Dynamics. Graduate Texts in Physics. Springer, Cham. https://doi.org/10.1007/978-3-319-21677-5_13
Download citation
DOI: https://doi.org/10.1007/978-3-319-21677-5_13
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-21676-8
Online ISBN: 978-3-319-21677-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)