6533b822fe1ef96bd127cd0f

RESEARCH PRODUCT

Analytical evaluation of integrals occurring in bound-free transitions.

Riccardo BurlonGaetano FerranteF. TrombettaClaudio LeoneS. Basile

subject

Electromagnetic fieldPhysicsPhotonIonizationPhysics::Atomic and Molecular ClustersPhysics::Atomic PhysicsPhotoionizationElectronAtomic physicsWave functionElectromagnetic radiationS-matrix

description

A class of three-dimensional integrals on spatial coordinates of the type occurring in treatments of multiphoton ionization of atoms and of other bound-free transitions is evaluated in closed form for both hydrogenic and Slater-type wave functions. The reported method of evaluation is illustrated with a number of examples, including the multiphoton ionization of hydrogen by a very intense laser field, when the ejected electrons have absorbed more photons than the minimum required to reach the continuum.

10.1103/physreva.37.390https://pubmed.ncbi.nlm.nih.gov/9899667