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

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

 

Synopses & Reviews

Publisher Comments:

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 This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems.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.

Description:

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

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

Product Details

ISBN:
9780198501619
Author:
Catto, Isabelle
Author:
Le Bris, Claude
Author:
null, Claude
Author:
Bris, Claude L.
Author:
null, Pierre-Louis
Author:
Bris, Claude Le
Author:
Le, Claude
Author:
Lions, P. L.
Author:
null, Isabelle
Author:
Lions, Pierre-Louis
Publisher:
OUP Oxford
Location:
Oxford :
Subject:
Physics
Subject:
Differential Equations
Subject:
Quantum Theory
Subject:
Mathematical Physics
Subject:
Mechanics - Dynamics - Thermodynamics
Subject:
Physics | Mathematical physics
Subject:
Physics-Math
Series:
Oxford mathematical monographs
Series Volume:
26
Publication Date:
19981031
Binding:
HARDCOVER
Grade Level:
College/higher education:
Language:
English
Illustrations:
6 line illus.
Pages:
296
Dimensions:
9.2 x 6.3 x 0.8 in 1.25 lb

Related Subjects

Health and Self-Help » Health and Medicine » Medical Specialties
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Thermodynamics

Mathematical Theory of Thermodynamic Limits: Thomas--Fermi Type Models New Hardcover
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Product details 296 pages Oxford University Press, Incorporated - English 9780198501619 Reviews:
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