I collect all my lecture notes on this page. You can see here the disclaimer and the purposes of these notes, please read them. I put the disclaimer section also here.
Disclaimer: how to use
These summaries were written by a student for personal use; no professor has reviewed them, and the only proof of their validity is that my exams always went well (and whenever I didn't get exceptional grades, it was due to my own flawed studying). They may contain errors and are in no way a substitute for attending lectures, even though I have made every effort to ensure they are accurate, complete, precise, and easy to understand. For these reasons, don't take them as gospel, but rather as a starting point to write your own notes. Furthermore, given the field of study, the information in these notes will inevitably become outdated over time.
My advice is to always use this material for comparison—whether you haven't been provided with resources, can't find any, or simply want a backup to make sure you've understood and written things down correctly.
This is the first Quantum Mechanics course taken in the bachelor’s degree program, so it covers all the introductory and basic topics. The order of topics doesn’t necessarily follow the textbooks, but rather follows what was done in class or, in any case, what I find most logical given my way of reasoning. I found it useful to also add the exercises section to the document (even though sometimes it’s just a reference to which exercise to see from Professor Regis), and above all a chapter entirely dedicated to the composition of angular momenta and one on the density matrix, since these are fundamental topics in QM. I found it useful to include a quick formula sheet at the end (I made a list of recommended exercises taken from the exercise book) covering all the topics discussed. During the course, Griffiths was mostly followed, but for some topics it was necessary to use other textbooks (listed at the end). A fantastic book in many respects is Rossetti (although it has a somewhat old-fashioned approach). All the images included are taken from the professor’s notes. I’ll conclude this perhaps unnecessary description by saying that my first approach to QM was traumatic, and the only thing that comforted me was a line from Niels Bohr, who said: If you are not confused by quantum mechanics, then you haven’t really understood it. The second approach was intriguing, the third made me think, and perhaps only after hearing certain concepts a fourth or fifth time did I actually internalize them — though I don’t think I’ll ever truly understand them, after all Feynman said: I think I can safely say that nobody understands quantum mechanics.
The course covers, in a first part, all the postulates of QM, followed by the section on path integrals, the WKB semiclassical approximation, scattering theory, and concluding with entanglement. For the sake of brevity, or laziness, since I’m writing these notes at a later time, I haven’t rewritten the entire course neatly, but only some parts. I chose to include the path integral formulation given its importance in QFT.
This course should be seen as the first part of a course on QFT, continued by the Foundations of Field Theory course. In this course we cover the entire introductory part of the subject. It might be useful to look at the complements notes or the file linked on my personal page, where I’ve put some calculations I worked through during my studies but didn’t feel like including in the notes. See the index at the end of these notes. Personally, for writing these notes, besides the professor’s notes, I mainly used Peskin and Schroeder, a classic and timeless textbook (you can find information about the book at this link, a collection of exercise solutions here, and errata here), and Srednicki. Lancaster and Blundell deserves a special mention: although it’s not a very technical or theoretical text and is consequently not entirely suited to a Theoretical Physics student, it was a fundamental resource for the interpretive, conceptual part and for understanding why certain things are done the way they are — it’s therefore a useful text for a first approach to the subject. For the group theory part, various lecture notes and material provided by the professor were used, all indicated in the dedicated chapter; a comprehensive source can be found in Schwichtenberg’s textbook.
I’d also like to point out that, while largely inspired by the professor’s lectures, E. Chiarotto’s notes found on the Telegram channel were fundamental (although almost entirely rewritten and reorganized to follow the 2025-2026 academic year’s lectures). This course is the second part of a course on QFT, so many concepts will be taken for granted and skipped over, since they will already have been covered in the Introduction to Quantum Field Theory course. The material provided by the professor is nonexistent, so for this course consulting textbooks is essential; the most useful ones are: Iliopoulos, Elementary Particle Physics (few calculations but very physical); E. Peskin, D. Schroeder, An Introduction to Quantum Field Theory; P. Ramond, Field Theory, a modern primer (somewhat dated, but followed for path integrals); M. Srednicki, Quantum Field Theory (works through all the calculations step by step, so it could complement Iliopoulos); M. Schwartz, Introduction to Quantum Field Theory. An “almost” complete list of references can be found here. Other recommended texts are: O. Nastase, Introduction to Quantum Field Theory; L. Alvarez Gaumé, M. A. Vázquez-Mozo, An Invitation to Quantum Field Theory (very dense and thorough, so not particularly recommended for exam preparation, but good for a second read); L. Alvarez Gaumé, M. A. Vázquez-Mozo, Lectures on Field Theory and the Standard Model: A Symmetry-Oriented Approach. In the exercises section I have collected some general calculations, a few past exam papers (with likely errors), and all the calculations for the 2-to-2 processes that the professor suggests practicing for the written exam. It might be useful to look at the complements notes.
This course should be viewed as the third part of a three-part series on QFT; therefore, certain topics, notions, and concepts will be assumed as prior knowledge. For any review, please refer to the previous course on QFT. This course is a little bit confusing at first sight, but I tried to integrate M. Nebbia’s notes from the course Complementi di Teoria di Campi (see for the corresponding chapter), taught by Prof.s L. Magnea and G. Passarino. You can see some of the exercises present in the notes in exercises’ section. These are my notes about the exam’s project for the MSc course Advanced Quantum Field Theory. I study, for personal purpose, the Mellin-Barnes representation. You can see my notes here.
This course takes a phenomenological approach to building the Standard Model of elementary particles. The first part covers Electroweak interactions: Fermi theory, its construction and its unavoidable shortcomings, and how these point toward an electroweak gauge theory. We’ll cover masses, the Higgs mechanism, and Higgs-particle couplings. The course notes are the main reference; Ridolfi’s and Barbieri’s notes, and Peskin & Schroeder, are also useful. The second part covers strong (nuclear) interactions: the fundamentals of QCD (color, the Lagrangian, running coupling, asymptotic freedom), scattering processes and IR divergences, hadronic jets, differential cross sections in perturbation theory, deep inelastic scattering, and anomaly cancellation in the Standard Model. Resources here are more abundant but overlapping: Peskin & Schroeder, Ellis-Stirling-Webber (open access via Cambridge, link in the Bibliography), and the notes by Seymour, Nason, and Salam. QCD-related Mathematica notebooks (belong to the professor) are available in this GitHub repository. Not all the professor’s notes are in LaTex, these are an appendix for the notes named QCD notes present in Campusnet page. Part of the oral exam involves solving an exercise; I’ve collected my worked solutions on a dedicated page. Typical EW topics: muon decay (Fermi theory and Standard Model), Fermi-theory unitarity violation ($e^- + \nu_e \to e^- + \nu_e$), and the number of light neutrinos. Typical QCD topics: phase-space or cross-section calculations for processes such as $e^+e^- \to q\bar{q}$, $q\bar{q} \to q\bar{q}$, or $gg \to q\bar{q}$ — either as amplitude calculations or phase-space measure computations. The Introduction to QFT, Foundations of QFT, and Advanced QFT courses are important background for this course.
This course aims to trace the entire history of elementary particles with a very experimental approach. The lectures were divided into two parts: the first covers all the theoretical notions taught by Professor Migliore, while the second part covered exercises with Professor Covarelli. Naturally, the theoretical part is what’s contained in these notes, while the exercises are in the dedicated section. I’d also like to point out that, while largely inspired by the professors’ lectures already mentioned, G. Alberto’s, L. De Lillo’s, and L. Visca’s notes found on the Telegram channel were fundamental (strong sources of inspiration).
Beamer presentation of the BSc thesis for the Summer School GraSPA 2026 in Annecy. The presentation is about Scattering process for Dark Matter particle and Sommerfeld enhancement role.
This is a fairly standard basic course on General Relativity, initially covering a review of Special Relativity before moving on to the actual theory of gravity. The course takes a very physical approach and serves as preparation for later Cosmology courses. In addition to all the professor’s notes, the course’s video lectures can be found on the official course page. The recommended textbooks for the course are: S. Weinberg, Gravitation and Cosmology (particularly for the first part on formalism and tensor calculus); S. Carroll, Spacetime and Geometry (mainly for the geometric aspects); B. Schutz, A First Course in General Relativity; A. Einstein, The Basis of the General Theory of Relativity and The Field Equations of Gravitation (an interesting read). I’d also like to point out the book by Lancaster and Blundell, General Relativity for the Gifted Amateur, which is not very technical, unlike its QFT counterpart, but can be useful for more discursive, contextual aspects. I’d also like to point out that, while largely inspired by the professor’s notes already mentioned, M. Robino’s notes found on the Telegram channel were fundamental (a strong source of inspiration).
This course should be seen as the first serious introduction to Cosmology, or at least that’s how it is for a student who chose theoretical exams during their bachelor’s degree and Theoretical Physics as their master’s degree track. During the course, Baumann was mostly followed (although Cosmology is a “newly born” science, it’s a good reference text, with a theoretical and physical approach) and Dodelson.
This is a basic Statistical Mechanics course covering all the fundamental concepts of the subject. I’d like to point out that, while largely inspired by the professor’s notes already mentioned, L. De Lillo’s and A. Amosso’s notes found on the Telegram channel were fundamental (a strong source of inspiration). I have also worked through some of the exercises assigned during the course, which can be found in the exercises section. Bibliographic references indicated by the professor are available on the course page. This is a quick Appendix to the Statistical Mechanics course notes. It will cover only the renormalization group.
This is an introductory course in Condensed Matter Physics; we will cover superfluidity, superconductivity, and the quantum Hall effect. I’d also like to point out that, while largely inspired by the professor’s notes already mentioned, V. Zitoli’s notes found on the Telegram channel were fundamental (a strong source of inspiration).
These notes include the classical mechanics, the fluid dynamics, the wave theory and something about electricity. You can find some exercises and the formulary in the dedicated section. All the exercises text and solution are presented by the professors, but a good reference for exercises (not to much basics for a non Physics BSc) are the book written by professors F. Massaro and R. Covarelli. Also, in all the theory books there are several exercises to prepare the exam.
This document is an extended table of contents for my lecture notes, rather than a faithful transcript. You can view my raw in-class notes (which are quite rough, informal, and contain a few typos) in the handwritten notes section. Unlike my other notes, this document does not include full mathematical steps or calculations, but focuses solely on key concepts and outlines of the steps to follow. Nevertheless, the topics are organized by section, and for each chapter, I have added brief notes on the content and what is covered in those specific pages to speed up the review process and avoid flipping through 460 pages of notes. Given the high volume of calculations and the limited descriptive context in the original lectures, these summaries could effectively replace standard notes. Sections covering textbook material are marked with symbols next to their names (textbook references are located at the end). I have also included a section with comments on the classroom tutoring sessions; this part is designed to help you quickly review specific types of exercises—especially when preparing for the written exam—and includes brief theoretical summaries.
This course arose from the difficulties students encountered in various computational courses across different master’s degree programs, which require the use or development of small programs. The course aims to provide an introduction to using and managing Linux-based OS and to the command-line interface. In the final chapter I’ve written a summary of the commands covered in the course. These notes are a rewrite of the notes taken in class, so the main source is the professor’s notes, but a text by William was also indicated as something one could follow, downloadable at this link.
In this guide on how to draw Feynman diagrams in LaTeX, we won’t go into too much detail, but we will look at some basic Feynman diagrams to begin writing lecture notes for our first Quantum Field Theory course. I will also show some advanced examples, but, as usual, all diagrams can be made as complex as you like. For more advanced commands, you can refer to the references listed in the Preface.
