The Mathematical Theory of Thermodynamic Limits: Thomas--Fermi Type Models

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More About This Textbook

Overview


The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations.
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Product Details

  • ISBN-13: 9780198501619
  • Publisher: Oxford University Press, USA
  • Publication date: 10/28/1998
  • Series: Oxford Mathematical Monographs Series
  • Pages: 296
  • Product dimensions: 6.30 (w) x 9.20 (h) x 0.80 (d)

Meet the Author

Universite Paris-Dauphine

Ecole Nationale des Ponts et Chaussees, Marne la Vallee

Universite Paris-Dauphine

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Table of Contents

1 General Presentation 1
2 Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential 34
3 Convergence of the energy for the Thomas-Fermi-von Weizsacker model 85
4 Convergence of the density for the Thomas-Fermi-von Weizsacker model with Yukawa potential 156
5 Convergence of the density for the Thomas-Fermi-von Weizsacker model 194
6 Convergence of the energy via the convergence of the density 228
References 272
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