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Many-Body Theory Exposed: Propagator Description of Quantum Mechanics in Many-Body Systems (2nd Edition) - Advanced Physics Textbook for Researchers & Graduate Students
Many-Body Theory Exposed: Propagator Description of Quantum Mechanics in Many-Body Systems (2nd Edition) - Advanced Physics Textbook for Researchers & Graduate Students

Many-Body Theory Exposed: Propagator Description of Quantum Mechanics in Many-Body Systems (2nd Edition) - Advanced Physics Textbook for Researchers & Graduate Students" (Note: I kept the original capitalization style as it appears to be the title of an academic book where this formatting may be intentional. For SEO purposes, I added the clarifying phrase about the audience to improve search relevance.)

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Description

This comprehensive textbook on the quantum mechanics of identical particles includes a wealth of valuable experimental data, in particular recent results from direct knockout reactions directly related to the single-particle propagator in many-body theory. The comparison with data is incorporated from the start, making the abstract concept of propagators vivid and accessible. Results of numerical calculations using propagators or Green's functions are also presented. The material has been thoroughly tested in the classroom and the introductory chapters provide a seamless connection with a one-year graduate course in quantum mechanics. While the majority of books on many-body theory deal with the subject from the viewpoint of condensed matter physics, this book emphasizes finite systems as well and should be of considerable interest to researchers in nuclear, atomic, and molecular physics. A unified treatment of many different many-body systems is presented using the approach of self-consistent Green's functions. The second edition contains an extensive presentation of finite temperature propagators and covers the technique to extract the self-energy from experimental data as developed in the dispersive optical model.The coverage proceeds systematically from elementary concepts, such as second quantization and mean-field properties, to a more advanced but self-contained presentation of the physics of atoms, molecules, nuclei, nuclear and neutron matter, electron gas, quantum liquids, atomic Bose-Einstein and fermion condensates, and pairing correlations in finite and infinite systems, including finite temperature.

Reviews

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This book is a definite update of previous classic works on many body theory (g.e. Fetter and Walecka or Abrikosov et. al.). The explanations are clear and there are examples that illustrate at each step the application of the formalism. Although some computational exercises are proposed which might give the reader (particularly students learning the subject) an introduction to the numerical techniques used in research, more should be desirable, but probably this would make the book excessively long. One feature to be mentioned is the comparison with atomic and nuclear experimental data, making the book a review and update of the last 20 years of advances in quantum many body theory. Finally, Green's function techniques and their applications are explained in absolute detail, unlike many of the book's predecessors.
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