{"product_id":"many-body-theory-exposed-propagator-description-of-quantum-mechanics-in-many-body-systems-third-edition","title":"Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems (Third Edition)","description":"\u003cp\u003e\u003cstrong\u003eBook info:\u003c\/strong\u003e Many-Body Theory Exposed!: Propagator Description of Quantum Mechanics in Many-Body Systems (Third Edition) (Hardcover, 1008 pages) – World Scientific Publishing Company, 2025. Language: English.\u003c\/p\u003e\n This book develops an approach to the quantum mechanics of identical particles that is relevant for many fields of physics. Based on the Green's function method it provides a unifying perspective not readily available in other approaches. Unlike many other books it contains a wealth of valuable experimental data, in particular 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 included. 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. An extensive presentation of finite temperature propagators is included which is unique to this method. In the third edition a new chapter covers the recent developments to extract the self-energy from experimental data obtained for nuclei, referred to as the dispersive optical model. This approach allows to generate predictions for hard to measure quantities like neutron distributions. Another new chapter describes the self-energy through a Faddeev summation of particle-particle and particle-hole propagators thereby leading to state of the art results for atoms, molecules, and nuclei. Other recent updates are contained in the third edition as well. 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.  \n\n                                         Editorial Reviews                   Review   \"I am very fond of this book and use it as a supporting text in my own classes on many-body theory. I find the new additions excellent and timely and they will improve an already superb text.\" \u003cp\u003e\u003c\/p\u003eMorten Hjorth-Jensen Professor of Physics, University of Oslo, Norway \u0026amp; Michigan State University, USA\u003cbr\u003e\u003cbr\u003e\"Many-Body Theory Exposed! is a true tour de force. Its systematic exposition makes it indispensable for students and experts in nuclear and atomic and molecular physics alike. It taught me my craft, and remains an essential reference for me, and the first book I point new students to. The updated third edition, which now includes additional topics including positron binding to molecules, chiral perturbation theory, and Fadeev summations, is very welcomed.\" \u003cp\u003e\u003c\/p\u003eDermot Green Reader in Theoretical Physics, Queen's University Belfast, UK\u003cbr\u003e\u003cbr\u003e\"Many-Body Theory Exposed! is a unique resource in its breadth, ranging from electronic to nuclear and ultracold atoms systems, but also in its expository clarity and pedagogical flair. Technical details, when necessary, are explained transparently and complemented with a suite of problems that are directly relevant to the theoretical aspects of the discussion. This new, third edition updates the original with selected contemporary aspects that have been developed in the two decades since the first edition was published. It was a welcome addition to the field when it was published — it has now become an absolute must for any practitioner of quantum many-body theory.\" \u003cp\u003e\u003c\/p\u003eArnau Rios Huguet Ramón y Cajal Fellow, University of Barcelona, Spain\u003cbr\u003e\u003cbr\u003e\"In addition to their original exposition of fundamental results, with equal importance being given to both Boson and Fermion many-body systems, this new edition also embeds a discussion of interactions based on chiral perturbation theory, multiple scattering theory, the dispersive optical model with further insight into nuclear reactions, a discussion of the correlations on the pairing properties of neutron stars and nuclear matter, and a description of the formalism of Faddeev summations relevant for atoms, molecules, and nuclei.\" \u003cp\u003e\u003c\/p\u003eG G N Angilella Associate Professor, University of Catania, Italy\u003cbr\u003e\u003cbr\u003e\"The new edition enriches the book, makes it up to date and increases its appeal. A new chapter on the relatively unknown but powerful Faddeev summing techniques and the inclusion of state-of-the-art numerical techniques are highlights for readers. A special feature of the book is the way it presents topics by often using intuitive physical arguments and numerical estimates, followed by developing mathematical techniques and approximation methods and then comparing theoretical results obtained with experiment. Such an approach firmly grounds theory in the space of experimental observations. The book will be a valuable practical reference text for advanced students and researchers.\" \u003cp\u003e\u003c\/p\u003eSiddhartha Sen Fellow Emeritus, Trinity College Dublin, Ireland           About the Author   Dr Willem H Dickhoff is Full Professor in the Department of Physics at Washington University in St. Louis, USA since 1997. He is an elected Fellow of the American Physical Society. His research concentrates mostly on the solution of the nuclear many-body problem, with over 150 publications and a h-index of 46. He teaches undergraduate and graduate courses in quantum mechanics, nuclear and particle physics. He holds a PhD from the Free University in Amsterdam, The Netherlands.\u003cbr\u003e\u003cbr\u003eDr Dimitri Van Neck is Full Professor in the Department of Physics and Astronomy at Ghent University, Belgium since 2002. Research interests include the quantum many-body problem, in particular nuclear and electronic systems. He is attached to the Center for Molecular Modeling at Ghent University. He is (co)author of 160 peer reviewed publications and has a h-index of 38. He teaches both classical mechanics and quantum mechanics courses.                                           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