WKB solution of the Stark effect in hydrogen
- 1 September 1982
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 26 (3) , 1775-1778
- https://doi.org/10.1103/physreva.26.1775
Abstract
We present an analytical solution for the nonrelativistic Stark effect in hydrogen separated in parabolic coordinates. The solution is given in terms of elliptic integrals and is obtained in a first-order WKB approximation. In addition, by a suitable approximation, we extend the WKB results to autoionizing states, above the threshold barrier. A short comparison of the present results with exact numerical calculations is also presented.Keywords
This publication has 14 references indexed in Scilit:
- Electric field ionization rate of the hydrogen atomPhysics Letters A, 1981
- Systematic theoretical study of the Stark spectrum of atomic hydrogen. I. Density of continuum statesJournal of Physics B: Atomic and Molecular Physics, 1980
- Perturbation theory of the Stark effect in hydrogen to arbitrarily high orderPhysical Review A, 1978
- A hydrogen atom in a uniform electric fieldJournal of Physics B: Atomic and Molecular Physics, 1976
- Stark Effect in Hydrogenic Atoms: Comparison of Fourth-Order Perturbation Theory with WKB ApproximationPhysical Review B, 1969
- Exact Treatment of the Stark Effect in Atomic HydrogenPhysical Review B, 1969
- Stark Effect in Hydrogen*Journal of the Optical Society of America, 1962
- Zur Intensit tsschw chung der Spektrallinien in hohen elektrischen FeldernThe European Physical Journal A, 1931
- Zur Theorie des Starkeffekts in hohen FeldernThe European Physical Journal A, 1930
- Zur Verschiebung der Wasserstoffterme in hohen elektrischen FeldernThe European Physical Journal A, 1930