## ECTS credits

4 credits

## Prerequisites

Level of the end of the preparatory class.

## Learning objectives

- To enable students to assimilate the fundamental postulates of quantum physics and to understand, in particular, microscopic physics in probabilistic terms.

- To master the notions of statistical physics and the foundations of classical and quantum statistical distributions, thermodynamic and chemical potentials.

- To understand the evolution of scientific thought from a history of ideas approach, halfway between empiricism and speculation.

- To be able to identify the implications for engineering sciences.

## Description of the programme

Quantum physics part :

- Limits of the classical approach

- Wave-corpuscle duality

- Probabilistic description, fundamental postulates and measurement

- Description of angular, orbital and spin momentum

- The fermion/boson distinction

- Entanglement and non-locality

These concepts will be illustrated with concrete examples, such as the hydrogen atom, the harmonic oscillator, the tunnel effect and quantum dots.

Statistical physics part :

- Recall of probability for physics,

- Random walks and diffusion - Construction of fundamental equations,

- Basic principles and microcanonical and canonical distributions,

- Application examples,

- Elements on grand canonical and quantum distributions,

- First notions on phase transitions.

## Generic central skills and knowledge targeted in the discipline

- Familiarise the student with an unusual conceptual framework, as it is different from the intuitions we form on our macroscopic scale;

- Learn to deal with non-determinism in physics and engineering;

- To know fundamental concepts of physics that are useful in many scientific and technical fields.

This course also provides students with the opportunity to practice:

-1 Identify the crucial parameters determining the solution of a problem;

-2 Invent original solutions;

-3 Demonstrate mathematical rigour when solving a problem;

-4 Integrate a relatively complex mode of reasoning.

## How knowledge is tested

Continuous assessment (CC):

CC1 ("Quantum Physics" part): 2 writings that contribute for 50% of the final mark.

CC2 (part "Statistical Physics"): 2 writings that contribute to 50% of the final mark.

## Bibliography

Quantum physics part: course handouts. Griffith's book. Solutions to tutorials and others available on Moodle.

Statistical physics part: books in the centre de documentation. Some documents for the tutorials.

## Teaching team

Thomas Durt, Philippe Réfrégier, Georges Bérardi, Frédéric Galland, Lili Kimmoun, Muriel Roche, Frédéric Schwander, Nicolas Sandeau, Julien Fade, Marc Jaeger.

- Total hours of teaching72h
- Master class34h
- Directed work20h
- 18h