Dynamics Associated with the Normally Hyperbolic Invariant Manifold that Governs the Ionization of Hydrogen in a Circularly Polarized Electric Field
Por:
Jung, Christof, Waalkens, Holger
Publicada:
30 jun 2020
Resumen:
The ionization of hydrogen in a circularly polarized electric field
consists of the electron escaping over a rotating Stark saddle. The
escape is mediated by the stable and unstable manifolds of a normally
hyperbolic invariant manifold associated with the saddle. General
principles guarantee the existence of this normally hyperbolic invariant
manifold which is referred to as a transition state for energies close
to the saddle. We use a numerical procedure to continue the transition
state to high energies and study the dynamics restricted to the
transition state. We find that for the strength of the electric field
under consideration, the transition state persists to very high energies
and the restricted dynamics remains amazingly regular. Our analysis
moreover includes a study of homoclinic orbits connecting the transition
state to itself.
Filiaciones:
Jung, Christof:
Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca, Morelos, Mexico
Waalkens, Holger:
Univ Groningen, Bernoulli Inst Math Comp Sci & Artificial Intelli, Groningen, Netherlands
|