Overview
- A modern comprehensive textbook on quantum many-body theory
- Enriched with exercises and case studies of interest in research
- Covers advanced topics such as Luttinger liquids, Kondo effect and Mott transition
Part of the book series: Graduate Texts in Physics (GTP)
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About this book
This textbook presents various methods to deal with quantum many-body systems, mainly addressing interacting electrons. It focusses on basic tools to tackle quantum effects in macroscopic systems of interacting particles, and on fundamental concepts to interpret the behavior of such systems as revealed by experiments.
The textbook starts from simple concepts like second quantization, which allows one to include the indistinguishability and statistics of particles in a rather simple framework, and linear response theory. Then, it gradually moves towards more technical and advanced subjects, including recent developments in the field. The diagrammatic technique is comprehensively discussed. Some of the advanced topics include Landau’s Fermi liquid theory, Luttinger liquids, the Kondo effect, and the Mott transition.
The ultimate goal of the book is to gain comprehension of physical quantities that are routinely measured experimentally and fully characterize the system, therefore it is useful for graduate students but also young researchers studying and investigating the theoretical aspects of condensed matter physics.
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Table of contents (7 chapters)
Authors and Affiliations
About the author
Michele Fabrizio is full Professor at SISSA – the International School of Advanced Studies in Trieste, Italy. He received the degree in Physics from University “La Sapienza” in Rome, and the PhD in Condensed Matter Theory from SISSA. From 1992 to 1994, he worked as post-doctoral fellow at the Institut Laue-Langevin, Grenoble, France. His research interests mostly concern quantum many-body systems, ranging over the years from one-dimensional conductors to magnetic impurities, molecular superconductors, correlated electron systems and Mott transitions at and out of equilibrium, and unconventional Fermi liquids.
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Bibliographic Information
Book Title: A Course in Quantum Many-Body Theory
Book Subtitle: From Conventional Fermi Liquids to Strongly Correlated Systems
Authors: Michele Fabrizio
Series Title: Graduate Texts in Physics
DOI: https://doi.org/10.1007/978-3-031-16305-0
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-16304-3Published: 02 November 2022
Softcover ISBN: 978-3-031-16307-4Published: 03 November 2023
eBook ISBN: 978-3-031-16305-0Published: 01 November 2022
Series ISSN: 1868-4513
Series E-ISSN: 1868-4521
Edition Number: 1
Number of Pages: XII, 343
Number of Illustrations: 7 b/w illustrations, 64 illustrations in colour
Topics: Condensed Matter Physics, Elementary Particles, Quantum Field Theory, Quantum Physics, Theoretical, Mathematical and Computational Physics