30558  STATISTICAL AND QUANTUM PHYSICS
Department of Computing Sciences
MARC JEAN MEZARD
Suggested background knowledge
Mission & Content Summary
MISSION
CONTENT SUMMARY
Part A: Statistical Physics
1 Why statistical physics? From microscopics to macroscopics
2 Statistical descriptions. "More is different"
3 Thermodynamics seen from the statistical physics viewpoint
4 Ideal gas
5 Interacting systems, phase transitions, ferromagnetism
6 Dynamics and equilibrium
7 Statistical physics and Data Science
8 Statistical physics and Machine Learning
Part B: Quantum Physics
1 Why quantum mechanics? Introduction to quantum phenomena
2 Schrödinger equation
3 Quantum measurements, uncertainty principle
4 Energy quantization
5 Principle of quantum mechanics
6 Two state systems
7 Entanglement, EinsteinPodolskyRosen paradox, Bell’s inequalities
8 Introduction to quantum computing
Intended Learning Outcomes (ILO)
KNOWLEDGE AND UNDERSTANDING
 understand the description of quantum systems
 understand quantum spins
 understand the quantum theory of atomic structure
 understand the concepts of entanglement and quantum measurement
 understand the principles of statistical physics and their relations to thermodynamics
 understand the theory of ideal gases
 understand the notion of phase transition
 undestand the dynamics of statistical physics systems and the approach to equilibrium
 understand the principles of application of statistical physics in data science and machine learning
APPLYING KNOWLEDGE AND UNDERSTANDING
 Study quantum properties of particles in external potentials
 Use perturbative methods
 Study quantum properties of spin 1/2 particles
 Study properties of ideal gases, classical, fermions and bosons
 Study phase transitions using meanfield theory
 Understand the dynamical properties of simple manybody systems
 Use the simplest meanfield methods in data analysis and inverse problems
Teaching methods
 Lectures
 Practical Exercises
DETAILS
Exercises are an important part of the course. Regularly, a part of the lectures time will be dedicated to exercises in the class, illustrating and complementing the lectures.
Assessment methods
Continuous assessment  Partial exams  General exam  


x  x 
ATTENDING AND NOT ATTENDING STUDENTS
The total grade has a maximum of 32 points.
The grade of 30 cum laude corresponds to 31 or 32 points
In order to pass the exam, the students must obtain a grade of 18 points at least.
The exam is not openbook. Any material apart from the one provided by the instructors is forbidden. A sheet contianing basic formulas and fundamental constants will be provided.
Teaching materials
ATTENDING AND NOT ATTENDING STUDENTS
 Quantum mechanics, JL Basdevant and J. Dalibard, Springer
 Fundamentals of Statistical and Thermal Physics, Frederick Reif, Mac Graw Hill (optional)
 “From statistical physics to datadriven modelling”, Simona Cocco, Rémi Monasson and Francesco Zamponi, Oxford University Press 2023
Exercises will be provided, as well as additional teaching material when needed