6533b82afe1ef96bd128c3df

RESEARCH PRODUCT

Removal of Resonances

Walter DittrichMartin Reuter

subject

PhysicsAdiabatic invariantCoordinate systemCanonical transformationPrimary resonanceExpression (computer science)Adiabatic processMathematical physics

description

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.

https://doi.org/10.1007/978-3-642-97465-6_12