Photoabsorption in the One-Electron Approximation

  • M. Ya. Amusia
Part of the Physics of Atoms and Molecules book series (PAMO)


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 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:
$$ \begin{array}{*{20}{l}} {{H^{(1)}}{\varphi _v}(x) = ( - \frac{\Delta }{2} - \frac{Z}{r} + W(r)){\varphi _v}(x) = {\varepsilon _v}{\varphi _v}(x)}\\ {V = - \frac{r}{Z} + W(r)} \end{array} $$
where the potential W(r), created by all the electrons, is assumed to be local.


Angular Momentum Oscillator Strength Principal Quantum Number Atomic Electron Photoionization Cross Section 
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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • M. Ya. Amusia
    • 1
  1. 1.A. F. Ioffe Physicotechnical InstituteAcademy of Sciences of the USSRLeningradUSSR

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