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Density Functional Theory of Stopping Power

  • P. M. Echenique
  • M. E. Uranga
Part of the Nato ASI Series book series (NSSB, volume 271)

Abstract

The density-functional (DF) formalism provides a very useful tool to tackle many-body problems in a simplified manner. In this approach, the many-body problem is replaced by a Hartree-like equation, such as

$$ \left[ { - \frac{{{\nabla ^{\text{2}}}}}{2} + {{\text{V}}_{{\text{eff}}}}\left( {\text{r}} \right)} \right]{\text{ }}{\psi _{\text{i}}}\left( {\text{r}} \right) = {\varepsilon _{\text{i}}}{\psi _{\text{i}}}\left( {\text{r}} \right). $$
(1)

(We use atomic units, e2 = h = m = 1 throughout except where otherwise indicated. The unit of energy is the Hartree (27.2 eV) and the Bohr’s radius a0 = 0.529 Å is the unit of length).

Keywords

Effective Charge Yukawa Potential Bear Approximation Scatter Phase Shift Transport 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

© Plenum Press, New York 1991

Authors and Affiliations

  • P. M. Echenique
    • 1
  • M. E. Uranga
    • 2
  1. 1.Dpto. de Física de Materiales, Facultad de QuímicaUniversidad del País Vasco/Euskal Herriko UnibertsitateaSan SebastiánSpain
  2. 2.Dpto. de Matemática Aplicada, E.T.S.I. IndustrialesUniversidad del País Vasco/Euskal Herriko UnibertsitateaBilbaoSpain

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