Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction
arXiv:2507.09229
Abstract
In these notes, we present a rigorous and self-contained introduction to the fundamental concepts and methods of quantum many-body theory. The text is designed to provide a solid theoretical foundation for the study of interacting quantum systems, combining clarity with mathematical precision. Core topics are developed systematically, with detailed derivations and comprehensive proofs that aim to make the material accessible to graduate students and beginning PhD students. Special attention is given to formal consistency and pedagogical structure, so as to guide the reader through both the conceptual and technical aspects of the subject. This work is intended as a reliable starting point for further exploration and research in modern quantum many-body physics.
About 500 pages and 60 figures. Draft of the Lecture notes for the course "Quantum Many-Body Theory". Corrected minor typographical errors and notation inconsistencies throughout the manuscript; no changes to the results or conclusions