Atomic Photoeffect pp 47-97 | Cite as

# Photoabsorption in the One-Electron Approximation

Chapter

## Abstract

We consider each atomic electron in both the initial and final state of the photoabsorption process to move independently in some mean field with potential
where the potential

*V*(*r*). This allows approximately for the action on the electron of the nucleus and all the other electrons. The atom and residual ion wavefunctions are then antisymmetrized products (2.72) of one-electron wavefunctions φ_{ v }(*x*) = φ_{ v }(**r**, σ). The latter are solutions to the one-particle Schrödinger equation:$$
\begin{array}{*{20}{l}}
{{H^{(1)}}{\varphi _v}(x) = ( - \frac{\Delta }{2} - \frac{Z}{r} + W(r)){\varphi _v}(x) = {\varepsilon _v}{\varphi _v}(x)}\\
{V = - \frac{r}{Z} + W(r)}
\end{array}
$$

(3.1)

*W*(*r*), created by all the electrons, is assumed to be local.## Keywords

Angular Momentum Oscillator Strength Principal Quantum Number Atomic Electron Photoionization Cross Section
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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## Copyright information

© Springer Science+Business Media New York 1990