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PHYS-F431

Advanced condensed matter physics and quantum many-body systems

academic year
2023-2024
2024-2025

Course teacher(s)

Nathan GOLDMAN (Coordinator)

ECTS credits

5

Language(s) of instruction

english

Course content

Introduction: second quantization and the Wick theorem The idealized systems: bosons confined by a potential, the fermi gaz The density matrix and mean-field methods for fermions and bosons. Supercondtivity, BCS and Hartee-Fock Bogoliubov de Gennes. The density functional theory. The random phase approximation.

Objectives (and/or specific learning outcomes)

The aim of the lectures is to introduce methods that are widely used to describe quantum systems where finite size effects are still dominant. Examples are taken from different area of physics: nculei, atoms, molecultes, metallic clusters, quantum dots, ...

Teaching methods and learning activities

Blackboard. The students have to solve several applications to model hamiltonian during directed exercises.

References, bibliography, and recommended reading

Ring and Schuck, The Nuclear Many-body problem, Springer Verlag 1980. J-P Blaizot and G. Ripka, Quantum theory of finite systems, MIT press 1986

Evaluation

Method(s) of evaluation

  • Other

Other

Oral examination, including the presentation of a recent paper.

Mark calculation method (including weighting of intermediary marks)

Based on the oral examination

Language(s) of evaluation

  • french
  • english

Programmes