On the Green function for a particle in a uniform electric field
- 10 May 1973
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 6 (9) , 1461-1466
- https://doi.org/10.1088/0022-3719/6/9/005
Abstract
A closed form is presented for the one-dimensional Green function of a particle in a uniform electric field pervading all space. The Green function is found to be analytic in the whole complex energy plane; some interesting implications of this analyticity are discussed. Further analysis employing more realistic boundary conditions at infinity indicates, however, that no physical system (no matter how large) is adequately represented by the uniform field model for arbitrarily weak field intensities, though the limitation is of no practical importance.Keywords
This publication has 2 references indexed in Scilit:
- The exact propagator for an electron in a uniform electric field and its application to Stark effect calculationsJournal of Physics C: Solid State Physics, 1969
- Exact Treatment of the Stark Effect in Atomic HydrogenPhysical Review B, 1969