The mathematical theory of thermodynamic limits : Thomas-Fermi type models

著者

書誌事項

The mathematical theory of thermodynamic limits : Thomas-Fermi type models

Isabelle Catto, Claude Le Bris, Pierre-Louis Lions

（Oxford mathematical monographs）

Clarendon Press, 1998

タイトル別名

Mathematical theory of thermodynamic limits

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注記

Includes bibliographical references (p. [272]-274) and index

内容説明・目次

内容説明

The thermodynamic limit is a mathematical technique which allows us to consider crystals (or other macroscopic objects) as infinitely sized periodically arranged molecules. This means that we can derive models in solid state physics from models in quantum chemistry. Based on this technique, the book presents established as well as new mathematical results for a large class of models in quantum chemistry.

目次

  • Preface
  • Contents
  • 1. General Presentation
  • 2. Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential
  • 3. Convergence of the energy for the Thomas-Fermi-von-Weizsacker model
  • 4. Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential
  • 5. Convergence of the density for the Thomas-Fermi-von-Weizsacker model
  • 6. Convergence of the energy via the convergence of the density
  • Bibliography

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