The Coulomb Green's function and multiphoton calculations
- 14 September 1998
- journal article
- review article
- Published by IOP Publishing in Journal of Physics B: Atomic, Molecular and Optical Physics
- Vol. 31 (17) , 3743-3764
- https://doi.org/10.1088/0953-4075/31/17/004
Abstract
The general properties of the Coulomb Green's function are presented, together with its available compact integral representations and discrete state expansions. These representations are most useful as they provide elegant and efficient ways to compute `exact' values of high-order perturbative matrix elements in hydrogen. Such calculations are of interest as they represent accurate benchmark data for multiphoton transition probabilities. Recent applications involving the Coulomb Green's function for the Dirac equation are also reviewed.Keywords
This publication has 100 references indexed in Scilit:
- Operator representation of the Dirac Coulomb Green function and relativistic polarizability of hydrogen-like atomsJournal of Physics B: Atomic, Molecular and Optical Physics, 1994
- Multiphoton ionisation of atomic hydrogen and the angular distribution of photoelectronsThe European Physical Journal D, 1988
- Low-energy weak interactions of quarksPhysics Reports, 1986
- Bethe sums for Lamb shift calculations in higher excited statesPhysics Letters B, 1973
- Use of the sturmian function for the calculation of the third harmonic generation coefficient of the hydrogen atomJournal of Physics B: Atomic and Molecular Physics, 1972
- On the Use of Green Functions in Atomic and Molecular Calculations. I. The Green Function of the Hydrogen AtomThe Journal of Chemical Physics, 1967
- Coulomb Green's FunctionJournal of Mathematical Physics, 1964
- Nonrelativistic Coulomb Green's Function in Momentum SpaceJournal of Mathematical Physics, 1964
- Interaction of Optical and Infrared Radiation with Metastable Hydrogen AtomsPhysical Review B, 1964
- Zur Theorie des WasserstoffatomsThe European Physical Journal A, 1935