Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models by Isabelle CattoMathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models by Isabelle Catto

Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models

byIsabelle Catto, Claude Le Bris, Pierre-Louis Lions

Hardcover | July 1, 1998

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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.
Isabelle Catto is at CEREMADE at Universite Paris-Dauphine. Claude Le Bris is at CERMICS at the Ecole Nationale des Ponts et Chaussees, Marne la Vallee. Pierre-Louis Lions is at CEREMADE at the Universite Paris-Dauphine.
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Title:Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type ModelsFormat:HardcoverPublished:July 1, 1998Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198501617

ISBN - 13:9780198501619

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Table of Contents

PrefaceContents1. General Presentation2. Convergence of the energy for the Thomas-Fermi-von Weizsacker model with Yukawa potential3. Convergence of the energy for the Thomas-Fermi-von-Weizsacker model4. Convergence of the density for the Thomas-Fermi-von-Weizsacker model with Yukawa potential5. Convergence of the density for the Thomas-Fermi-von-Weizsacker model6. Convergence of the energy via the convergence of the densityBibliography