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

Fuente: arXiv
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Main Authors: Tafuri, Fabrizio, Perroni, Carmine Antonio, De Filippis, Giulio
Format: Preprint
Published: 2025
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author Tafuri, Fabrizio
Perroni, Carmine Antonio
De Filippis, Giulio
author_facet Tafuri, Fabrizio
Perroni, Carmine Antonio
De Filippis, Giulio
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09229
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction
Tafuri, Fabrizio
Perroni, Carmine Antonio
De Filippis, Giulio
Other Condensed Matter
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
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.
title Lecture Notes on Quantum Many-Body Theory: A Pedagogical Introduction
topic Other Condensed Matter
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2507.09229