标题： 量子多体理论讲义：教学入门 显示英文标题

标题： Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction

摘要： 在这些笔记中，我们提供了一个严格且自包含的介绍，涵盖量子多体理论的基本概念和方法。 文本旨在为研究相互作用的量子系统提供坚实的理论基础，结合清晰性与数学精确性。 核心主题系统地展开，包含详细的推导和全面的证明，旨在使材料对研究生和初学者博士生易于理解。 特别注意形式一致性和教学结构，以引导读者掌握该学科的概念和技术方面。 本工作旨在作为现代量子多体物理进一步探索和研究的可靠起点。 显示英文摘要

摘要： 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.