Continuum S state wavefunctions for the Debye potential by Ecker–Weizel approximations

1 August 1978

journal article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 19 (8) , 1654-1655
https://doi.org/10.1063/1.523883

Abstract

Analytical expressions for the continuum eigenfunctions for the Debye (Yukawa) or shielded Coulomb potential are derived by using Ecker–Weizel approximations. The results are used to obtain the S matrix in closed form.

Keywords

This publication has 7 references indexed in Scilit:

Bound s-state energies for the static screened Coulomb potential
Physics Letters A, 1976
Analytic perturbation theory for screened Coulomb potentials: Nonrelativistic case
Physical Review A, 1976
On the threshold behaviour of bound-bound and bound-free photoabsorption for the screened Coulomb potentials
Journal of Physics B: Atomic and Molecular Physics, 1975
Energies of $s$ Eigenstates in a Static Screened Coulomb Potential
Physical Review A, 1971
Bound Eigenstates of the Static Screened Coulomb Potential
Physical Review A, 1970
Zustandssumme und effektive Ionisierungsspannung eines Atoms im Inneren des Plasmas
Annalen der Physik, 1956
Approximate Eigensolutions of $(\frac{d^{2} φ}{d x^{2}}) + [a + b (\frac{e^{- x}}{x}) φ = 0$
Reviews of Modern Physics, 1951