The Fundamentals of Density Functional Theory

  • Helmut Eschrig

Part of the TEUBNER-TEXTE zur Physik book series (TTZP, volume 32)

Table of contents

  1. Front Matter
    Pages 1-8
  2. Introduction

    1. Helmut Eschrig
      Pages 9-11
  3. Non-Relativistic Theory

    1. Front Matter
      Pages 12-12
    2. Helmut Eschrig
      Pages 13-34
    3. Helmut Eschrig
      Pages 35-59
    4. Helmut Eschrig
      Pages 60-73
    5. Helmut Eschrig
      Pages 74-98
    6. Helmut Eschrig
      Pages 99-126
    7. Helmut Eschrig
      Pages 127-142
    8. Helmut Eschrig
      Pages 143-158
  4. Relativistic Theory

    1. Front Matter
      Pages 159-159
    2. Helmut Eschrig
      Pages 176-192
  5. Back Matter
    Pages 193-204

About this book

Introduction

Density functional methods form the basis of a diversified and very active area of present days computational atomic, molecular, solid state and even nuclear physics. A large number of computational physicists use these meth­ ods merely as a recipe, not reflecting too much upon their logical basis. One also observes, despite of their tremendeous success, a certain reservation in their acceptance on the part of the more theoretically oriented researchers in the above mentioned fields. On the other hand, in the seventies (Thomas­ Fermi theory) and in the eighties (Hohenberg-Kohn theory), density func­ tional concepts became subjects of mathematical physics. In 1994 a number of activities took place to celebrate the thirtieth an­ niversary of Hohenberg-Kohn-Sham theory. I took this an occassion to give lectures on density functional theory to senior students and postgraduates in the winter term of 1994, particularly focusing on the logical basis of the the­ ory. Preparing these lectures, the impression grew that, although there is a wealth of monographs and reviews in the literature devoted to density func­ tional theory, the focus is nearly always placed upon extending the practical applications of the theory and on the development of improved approxima­ tions. The logical foundadion of the theory is found somewhat scattered in the existing literature, and is not always satisfactorily presented. This situation led to the idea to prepare a printed version of the lecture notes, which resulted in the present text.

Keywords

Hohenberg-Kohn Theory Legendre Transfomation Many-Body Systems Non-Relativistic Theory Relativistic-Theory Thomas-Fermi Theory density functional theory development dynamics electrodynamics mathematical physics physics quantum electrodynamics research

Authors and affiliations

  • Helmut Eschrig
    • 1
  1. 1.Technische Universität DresdenDresdenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-322-97620-8
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1996
  • Publisher Name Vieweg+Teubner Verlag, Wiesbaden
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-8154-3030-9
  • Online ISBN 978-3-322-97620-8
  • Series Print ISSN 0233-0911
  • About this book
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