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This textbook addresses the special physics of many-particle systems, especially those dominated by correlation effects. It develops modern methods to treat such systems and demonstrates their application through numerous appropriate exercises, mainly from the field of solid state physics. The book is written in a tutorial style appropriate for those who want to learn many-body theory and eventually to use this to do research work in this field. The exercises, together with full solutions for evaluating one's performance, help to deepen understanding of the main aspects of many-particle systems.

Many-body problem. --- Many-body problem --- Physics. --- Condensed matter. --- Condensed Matter Physics. --- Theoretical, Mathematical and Computational Physics. --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Mathematical physics. --- Physical mathematics --- Physics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Solids --- Mathematics

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Written by two leading experts in the field, this book explores the 'many-body' methods that have become the dominant approach in determining molecular structure, properties and interactions. With a tight focus on the highly popular Many-Body Perturbation Theory (MBPT) and Coupled-Cluster theories (CC), the authors present a simple, clear, unified approach to describe the mathematical tools and diagrammatic techniques employed. Using this book the reader will be able to understand, derive and confidently implement relevant algebraic equations for current and even new multi-reference CC methods. Hundreds of diagrams throughout the book enhance reader understanding through visualization of computational procedures and extensive referencing allows further exploration of this evolving area. With an extensive bibliography and detailed index, this book will be suitable for graduates and researchers within quantum chemistry, chemical physics and atomic, molecular and solid-state physics.

Quantum mechanics. Quantumfield theory --- Fluid mechanics --- Nuclear physics --- Quantum chemistry --- Many-body problem --- Cluster theory (Nuclear physics) --- Perturbation (Quantum dynamics) --- Quantum chemistry. --- Many-body problem. --- Chimie quantique --- Problème des N corps --- Théorie des agrégats (Physique nucléaire) --- Perturbation (Mécanique quantique) --- Perturbation theory, Quantum mechanical --- Perturbation (Mathematics) --- Quantum theory --- Cluster phenomena (Nuclear physics) --- Clustering phenomena (Nuclear physics) --- Clusters (Nuclear physics) --- Nuclear clusters --- Nuclear structure --- n-body problem --- Problem of many bodies --- Problem of n-bodies --- Mechanics, Analytic --- Chemistry, Quantum --- Chemistry, Physical and theoretical --- Excited state chemistry

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Mathematical statistics --- Scaling laws (Statistical physics) --- Bethe-ansatz technique. --- Tiling (Mathematics) --- Statistical mechanics. --- Lois d'échelle (Physique statistique) --- Bethe, Ansatz de --- Pavage (Mathématiques) --- Mécanique statistique --- 51 <082.1> --- Mathematics--Series --- Lois d'échelle (physique statistique) --- Bethe, Ansatz de. --- Pavage (mathématiques) --- Mécanique statistique. --- Lois d'échelle (Physique statistique) --- Pavage (Mathématiques) --- Mécanique statistique --- Bethe-ansatz technique --- Statistical mechanics --- Combinatorial designs and configurations --- Mathematics --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Ratio and proportion (Statistical physics) --- Scale invariance (Statistical physics) --- Scaling hypothesis (Statistical physics) --- Scaling phenomena (Statistical physics) --- Physical laws --- Ranking and selection (Statistics) --- Many-body problem --- Mathematical physics