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Semiclassical Theory of Atoms

  • Textbook
  • © 1988

Overview

Authors:
  1. Berthold-Georg Englert
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Part of the book series: Lecture Notes in Physics (LNP, volume 300)

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Table of contents (7 chapters)

  1. Front Matter

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  2. Introduction

    Pages 1-26

  3. Thomas - Fermi model

    Pages 27-129

  4. Strongly bound electrons

    Pages 130-174

  5. Quantum corrections and exchange

    Pages 175-294

  6. Shell structure

    Pages 295-369

  7. Miscellanea

    Pages 370-382

  8. Footnotes

    Pages 383-396

  9. Back Matter

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Keywords

About this book

Semiclassical Theory of Atoms presents a novel approach to theoretical atomic physics. The fundamental quantity in this new, powerful formalism is the effective potential, not the density. The starting point is the highly semiclassical approximation known as the Thomas-Fermi model. It is studied in great detail, and then refined in three steps by adding quantum corrections successively according to their importance. First, the strongly bound electrons are treated in detail. Second, the bulk of electrons is better described by introducing quantum corrections to the Thomas-Fermi treatment and by including the exchange interaction. At this stage, predicted binding energies, for instance, are correct to within a small fraction of a percent. Third, shell effects are introduced. The improved semiclassical treatment is then sufficiently refined to reproduce the systematics of the Periodic Table. It addresses the graduate student with a good knowledge of elementary quantum mechanics.

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