Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models

Author:   Isabelle Catto (CEREMADE, CEREMADE, Université Paris-Dauphine) ,  Claude Le Bris (CERMICS, CERMICS, École Nationale des Ponts et Chaussées, Marne la Vallée) ,  Pierre-Louis Lions (CEREMADE, CEREMADE, Université Paris-Dauphine, France) ,  Pierre-Louis Lions (CEREMADE, France)
Publisher:   Oxford University Press
ISBN:  

9780198501619


Pages:   292
Publication Date:   15 October 1998
Format:   Hardback
Availability:   To order   Availability explained
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Mathematical Theory of Thermodynamic Limits: Thomas-Fermi Type Models


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Overview

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.

Full Product Details

Author:   Isabelle Catto (CEREMADE, CEREMADE, Université Paris-Dauphine) ,  Claude Le Bris (CERMICS, CERMICS, École Nationale des Ponts et Chaussées, Marne la Vallée) ,  Pierre-Louis Lions (CEREMADE, CEREMADE, Université Paris-Dauphine, France) ,  Pierre-Louis Lions (CEREMADE, France)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.20cm , Height: 2.00cm , Length: 24.20cm
Weight:   0.562kg
ISBN:  

9780198501619


ISBN 10:   0198501617
Pages:   292
Publication Date:   15 October 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

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

Reviews

<br> Indeed, while motivated by questions from physics or chemistry, in this book the focus is definitely on the mathematical aspects and methods of solving the problems studied. With this work, a significant step in the rigorous treatment of the thermodynamic limit is accomplished. A fine piece of mathematical physics presented by the original authors in a pedagogical way, in this sense the book is certainly an outstanding contribution to the literature. - Mathematical Reviews<br>


Indeed, while motivated by questions from physics or chemistry, in this book the focus is definitely on the mathematical aspects and methods of solving the problems studied. With this work, a significant step in the rigorous treatment of the thermodynamic limit is accomplished. A fine piece of mathematical physics presented by the original authors in a pedagogical way, in this sense the book is certainly an outstanding contribution to the literature. - Mathematical Reviews


Indeed, while motivated by questions from physics or chemistry, in this book the focus is definitely on the mathematical aspects and methods of solving the problems studied. With this work, a significant step in the rigorous treatment of the thermodynamic limit is accomplished. A fine piece of mathematical physics presented by the original authors in a pedagogical way, in this sense the book is certainly an outstanding contribution to the literature. - Mathematical Reviews


Indeed, while motivated by questions from physics or chemistry, in this book the focus is definitely on the mathematical aspects and methods of solving the problems studied. With this work, a significant step in the rigorous treatment of the thermodynamic limit is accomplished. A fine piece of mathematical physics presented by the original authors in a pedagogical way, in this sense the book is certainly an outstanding contribution to the literature. - Mathematical Reviews<br>


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