Many-Body Quantum Theory in Condensed Matter Physics: An Introduction

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		Many-Body Quantum Theory in Condensed Matter Physics: An Introduction
		Many-Body Quantum Theory in Condensed Matter Physics: An Introduction

This book is an introduction to the techniques of many-body quantum theory with a large number of applications to condensed matter physics. The basic idea of the book is to provide a self-contained formulation of the theoretical framework without losing mathematical rigor, while at the same time providing physical motivation and examples. The examples are taken from applications in electron systems and transport theory.

On the formal side, the book covers an introduction to second quantization, many-body Green's function, finite temperature Feynman diagrams and bosonization. The applications include traditional transport theory in bulk as well as mesoscopic systems, where both the Landau-Büttiker formalism and recent developments in correlated transport phenomena in mesoscopic systems and nano-structures are covered. Other topics include interacting electron gases, plasmons, electron-phonon interactions, superconductivity and a final chapter on one-dimensional systems where a detailed treatment of Luttinger liquid theory and bosonization techniques is given.

Having grown out of a set of lecture notes, and containing many pedagogical exercises, this book is designed as a textbook for an advanced undergraduate or graduate course, and is also well suited for self-study.

网友对Many-Body Quantum Theory in Condensed Matter Physics: An Introduction的评论

The strength of this book is the low number of errors, compactness of its presentation, pedagogy, collection of exercises, emphasis of fundamentals, and careful calculation. Rarely is the reader left, unaided and unguided, to fill in gaping holes in logic. It is somewhat slow to work through the dense presentation. Also, the book treats some rather advanced topics (e.g., Matsubara sums, Feynman diagrams, etc.) with the same compactness. I had trouble understanding what the book was trying to communicate while taking a course. However, on revisiting the material after I'd finished the course, I realized the presentation was quite clear, and it was just my extremely-stressed state that was causing me to misinterpret the material.

I should also say the extremely-ambitious course I took out of this book tried to cover almost the entire book, _and_ I was underqualified to take the course (I was concurrently taking only my first semester of introductory solid state physics). The book does say it is designed for a 2-semester course, not 1! It should be a statement about the book's clarity that the course wasn't a complete disaster for me...indeed, studying under such an ambitious instructor in such an unprepared state could have been a perfect-storm of a disaster!

This is a very good textbook for beginners to learn many body theory. The 2016 edition has corrected a lot of misprints.

Very condensed and easy to read, probably not a beginners book.

In its third edition it still contains an unacceptable amount of syntactical and grammatical errors, missing words, wrong formulas and nebulous explanations. For example, the 6th chapter explains linear response theory crystal clear, but the accompanying derivations of the conductivity and conductance formulae are erroneous and do not follow the recipe of linear response theory, which is extremely unpedagogical. Moreover, the book lacks rigour: When one wants to rederive some formulae it can happen that one gets stuck because the authors missed to provide proper definitions.

In conclusion, the book by Bruus and Flensberg introduces some concepts in a very clear and pedagogical manner. Other than that the book has some serious faults. The reader has to devote more time to clearing up the mathematics than to understand the physics.

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