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Density Functional Theory of Stop** Power

  • Chapter
Interaction of Charged Particles with Solids and Surfaces

Part of the book series: Nato ASI 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).

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Authors and Affiliations

  1. Dpto. de Física de Materiales, Facultad de Química, Universidad del País Vasco/Euskal Herriko Unibertsitatea, Apdo. 1072, E-20080, San Sebastián, Spain

    P. M. Echenique

  2. Dpto. de Matemática Aplicada, E.T.S.I. Industriales, Universidad del País Vasco/Euskal Herriko Unibertsitatea, E-48007, Bilbao, Spain

    M. E. Uranga

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  1. P. M. Echenique
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  2. M. E. Uranga
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Editor information

Editors and Affiliations

  1. Universitat d’Alacant, Alacant, Spain

    Alberto Gras-Marti

  2. Technische Universität, Braunschweig, Germany

    Herbert M. Urbassek

  3. Centro Atómico Bariloche e Instituto Balseiro, Bariloche, Argentina

    Néstor R. Arista

  4. Universidad Autónoma de Madrid, Madrid, Spain

    Fernando Flores

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© 1991 Plenum Press, New York

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Echenique, P.M., Uranga, M.E. (1991). Density Functional Theory of Stop** Power. In: Gras-Marti, A., Urbassek, H.M., Arista, N.R., Flores, F. (eds) Interaction of Charged Particles with Solids and Surfaces. Nato ASI Series, vol 271. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8026-9_2

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  • DOI: https://doi.org/10.1007/978-1-4684-8026-9_2

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