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Basic Concepts in Dielectric Response and Pseudopotentials

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Electronic Structure, Dynamics, and Quantum Structural Properties of Condensed Matter

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Abstract

A system of M electrons in a potential V 0 (which might be due to the ions and to external perturbations), is described by the hamiltonian:

$$H = \sum\limits_j^M {\frac{{p_j^2}}{{2m}} + \sum\limits_j^{\scriptstyle M \hfill \atop \scriptstyle \hfill} {{V^0}\left( {\overrightarrow r j} \right) + \frac{{{e^2}}}{e}\sum\limits_j^M {\sum\limits_{i \ne j}^M {\frac{1}{{|{{\overrightarrow r }_i} - {{\overrightarrow r }_j}|}}} } } } $$
(1.1)

Due to the Coulomb repulsion between the electrons, this hamiltonian is obviously nota sum of single particle hamiltonians H j . In principle, this means that the total wave function depends on the positions of all the electrons, the coordinates of which are all correlated.

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Authors and Affiliations

  1. Department of Physics, Universitaire Instelling Antwerpen, Universiteitsplein 1, B-2610, Antwerpen-Wilrijk, Belgium

    J. T. Devreese & F. Brosens (Research Associate)

  2. Institute of Applied Mathematics, R. U. C. A., Groenenborgerlaan 171, B-2020, Antwerpen, Belgium

    J. T. Devreese

  3. University of Technology, Eindhoven, The Netherlands

    J. T. Devreese

  4. National Fund for Scientific Research, Belgium

    F. Brosens (Research Associate)

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  1. J. T. Devreese
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  1. University of Antwerp, Antwerp, Belgium

    Jozef T. Devreese  & Piet Van Camp  & 

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Devreese, J.T., Brosens, F. (1985). Basic Concepts in Dielectric Response and Pseudopotentials. In: Devreese, J.T., Van Camp, P. (eds) Electronic Structure, Dynamics, and Quantum Structural Properties of Condensed Matter. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0899-8_2

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