6533b7d9fe1ef96bd126c225

RESEARCH PRODUCT

Multiphoton-ionization transition amplitudes and the Keldysh approximation.

F. TrombettaGaetano FerranteS. Basile

subject

PhysicsAmplitudeSeries (mathematics)Quantum mechanicsIonizationUniform convergenceBorn–Huang approximationPhysics::Atomic and Molecular ClustersPhysics::Atomic PhysicsPhotoionizationCondensed Matter::Mesoscopic Systems and Quantum Hall EffectTerm (time)

description

The Keldysh approximation to treat the multiphoton ionization of atoms is reconsidered. It is shown that, if one consistently uses the hypothesis under which the approximation should be valid (essentially, that of a weak, short-range binding potential), a Keldysh-like term results as an approximation to the first term of a uniformly convergent series in powers of the binding potential. No cancellation occurs when higher-order terms are taken into account. This result allows one to consider the Keldysh approximation as a well-defined theoretical model, without implying, however, that it is adequate to describe multiphoton ionization of real atoms.

10.1103/physreva.40.2774https://pubmed.ncbi.nlm.nih.gov/9902471