Primer, including problems and solutions, for graduate level courses on theoretical quantum condensed matter physics.
Over the past few decades, in concert with ground-breaking experimental advances, condensed matter theory has drawn increasingly from the language of low-energy quantum field theory. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. It emphasizes the development of modern methods of classical and quantum field theory with applications oriented around condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked solutions, designed to provide a bridge between formal manipulations and research-oriented thinking. This book will complement graduate level courses on theoretical quantum condensed matter physics.
Review quote:
' - this work is so well written that it succeeds in making even the most intricate and abstruse models admirably clear - it is timely in that it brings the reader completely up to date on most of the newer approaches currently in vogue - eminently suitable for researchers in the field - could also be read with interest by advanced students because the numerous info sections elucidate and expand upon the many themes addressed - this very attractive book will remain a standard reference work in its field for years to come.' Chemistry World
Table of contents:
1. From particles to fields; 2. Second quantisation; 3. Feynman path integral; 4. Functional field integral; 5. Perturbation theory; 6. Broken symmetry and collective phenomena; 7. Response functions; 8. The renormalization group; 9. Topology; Bibliography.
Over the past few decades, in concert with ground-breaking experimental advances, condensed matter theory has drawn increasingly from the language of low-energy quantum field theory. This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. It emphasizes the development of modern methods of classical and quantum field theory with applications oriented around condensed matter physics. Topics covered include second quantization, path and functional field integration, mean-field theory and collective phenomena, the renormalization group, and topology. Conceptual aspects and formal methodology are emphasized, but the discussion is rooted firmly in practical experimental application. As well as routine exercises, the text includes extended and challenging problems, with fully worked solutions, designed to provide a bridge between formal manipulations and research-oriented thinking. This book will complement graduate level courses on theoretical quantum condensed matter physics.
Review quote:
' - this work is so well written that it succeeds in making even the most intricate and abstruse models admirably clear - it is timely in that it brings the reader completely up to date on most of the newer approaches currently in vogue - eminently suitable for researchers in the field - could also be read with interest by advanced students because the numerous info sections elucidate and expand upon the many themes addressed - this very attractive book will remain a standard reference work in its field for years to come.' Chemistry World
Table of contents:
1. From particles to fields; 2. Second quantisation; 3. Feynman path integral; 4. Functional field integral; 5. Perturbation theory; 6. Broken symmetry and collective phenomena; 7. Response functions; 8. The renormalization group; 9. Topology; Bibliography.