Analytical evaluation of integrals occurring in bound-free transitions
- 1 January 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (2) , 390-399
- https://doi.org/10.1103/physreva.37.390
Abstract
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.Keywords
This publication has 12 references indexed in Scilit:
- Electron capture in collisions of with Li atoms and of , , and with He atoms in the high-energy regionPhysical Review A, 1986
- Computation of total cross-sections for electron capture in high energy collisions. IIComputer Physics Communications, 1983
- Bound-free non-relativistic transition form factors in atomic hydrogenJournal of Physics B: Atomic and Molecular Physics, 1981
- Differential cross sections for excitation of atomic hydrogen by proton impactPhysical Review A, 1981
- Continuum distorted waves: capture into the nth shellJournal of Physics B: Atomic and Molecular Physics, 1981
- Projectile charge dependence of electron-capture cross sections (cosmic rays-interstellar gas interactions)Journal of Physics B: Atomic and Molecular Physics, 1977
- Perturbation Calculation of the Inelastic Scattering of Electrons by Hydrogen AtomsPhysical Review B, 1956
- Reduction of an Integral in the Theory of BremsstrahlungPhysical Review B, 1954
- Bremsstrahlung for Heavy Elements at Extreme Relativistic EnergiesPhysical Review B, 1950
- The inner shell ionization of atoms by electron impactMathematical Proceedings of the Cambridge Philosophical Society, 1940