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 This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems.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