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Oxford Mathematical Monographs: Mathematical Theory of Thermodynamic Limits : Thomas--Fermi Type Models by Isabelle Catto, Pierre-Louis Lions and Claude Le Bris (1998, Hardcover)
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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.
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Product Identifiers
PublisherOxford University Press, Incorporated
ISBN-100198501617
ISBN-139780198501619
eBay Product ID (ePID)330668
Product Key Features
Number of Pages292 Pages
LanguageEnglish
Publication NameMathematical Theory of Thermodynamic Limits : Thomas--Fermi Type Models
Publication Year1998
SubjectPhysics / Quantum Theory, Differential Equations / General, Physics / Mathematical & Computational, Physics / General
TypeTextbook
AuthorIsabelle Catto, Pierre-Louis Lions, Claude Le Bris
Subject AreaMathematics, Science
SeriesOxford Mathematical Monographs
FormatHardcover
Dimensions
Item Height0.8 in
Item Weight19.4 Oz
Item Length9.2 in
Item Width6.1 in
Additional Product Features
Intended AudienceCollege Audience
TitleLeadingThe
Dewey Edition21
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
IllustratedYes
Dewey Decimal536.7/1
Table Of ContentPrefaceContents1. General Presentation2. Convergence of the energy for the Thomas-Fermi-von Weizsäcker model with Yukawa potential3. Convergence of the energy for the Thomas-Fermi-von-Weizsäcker model4. Convergence of the density for the Thomas-Fermi-von-Weizsäcker model with Yukawa potential5. Convergence of the density for the Thomas-Fermi-von-Weizsäcker model6. Convergence of the energy via the convergence of the densityBibliography
SynopsisThe 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., 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., The thermodynamic limit is a mathematical technique which permits to consider crystals (or other macroscopic objects) as infinitely sized periodically arranged molecules. It allows to 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.
