IPhy Semester 7 (September-November). This course at the beginning of Semester 7 completes the lectures in elementary quantum physics, intended for students coming from PET, with respect to the curriculum of the PMP section. Lecture in French. The lecture outline is

  1Quantum mechanical postulates and Dirac formalism

  2 Angular momenta

  3 The hydrogen atom

  4 Variational approach and chemical binding

Exam 12/13 Exam 13/14 Exam 14/15 Exam 15/16 Exam 16/17 Exam 17/18 Exam 18/19 Exam 19/20 Exam 20/21 Exam 21/22 Exam 22/23

Solutions 13/14 Solutions 16/17 Solutions 20/21Solutions 21/22

TD1 TD2 TD3 TD4

IPhy Semester 7 (October-January). This second course in quantum mechanics deepens the physical concepts describing the microscopic properties of matter. The lecture outline is:
1 Brief introduction to foundations of quantum mechanics: Lagrangian mechanics, canonical quantization, Hamiltonian including vector potential, entanglement.
2 Angular momenta: applications to magnetism, addition of angular momenta
3 Harmonic oscillator
4 Stationary perturbation theory and corrections to hydrogen atom levels
5 Time-dependent perturbation theory and Fermi's golden rule
6 Introduction to light-matter interaction
The lectures are in French.

Exam 11/12 Exam 12/13 Exam 13/14 Exam 14/15 Exam 15/16 Exam 16/17 Exam 17/18 Exam 18/19 Exam 19/20

Solutions 15/16 Solutions 16/17 Solutions 18/19

Classe inversée 0: Lagrangian Classe inversée 1: Classical Hamiltonian Classe inversée 2: Poisson brackets Classe inversée 3: Quantum LC circuit Classe inversée 4: Lagrangian in an EM field Classe inversée 5: Angular momentum Classe inversée 6: Spherical harmonics Annex: Hydrogen atom radial equation Classe inversée 7: Addition of angular momenta Annex: Clebsch-Gordan coefficients Classe inversée 8: Stationary perturbation theory Classe inversée 9: Time-dependent perturbation theory

This course in Semester 8 introduces the quantum mechanical description of systems of identical particles using the second quantized formalism. The teaching language is English. The lecture outline is

1 Introduction: Symmetry properties of quantum states of identical particles, density operator, propagators.

2 Number states and observables in the second quantized formalism

3 Quantization of the electromagnetic field and light-matter interaction

4 A glimpse on interacting many-electron systems in solids

TD I: Density operator TD II: Quantum field operators TD III: Rutherford scattering TD IV: Vacuum Rabi oscillations TD V: Hartree-Fock Exam 21/22

Nanotech Semester 4 (February-March). This Master 1 course gives an introduction to the physics at play in and around a Scanning Tunneling Microscope. It is completed by a practical session during which an STM is operated. The lecture outline is

1 Quantum tunneling of electrons: quantum picture of electrons in a solid; Fermi level and work function; bias and gate voltage; from square barrier tunneling to WKB; tunneling spectroscopy

2 Practical aspects of STM and instrumentation: vibrations, electronics, piezoelectric control, the role of atomic orbitals in imaging

3 Selected topics (may vary from year to year): spin-polarized tunneling; imaging mesoscopic superconductivity (vortices, bound states, inhomogeneous superconductivity,...); inelastic tunneling; electronic surface states;/...

Those who wish can download (register first) a free STM simulator from Nanonis/SPECS. Very instructive and quite amusing.

Lecture slides

Held at the European Summerschool on Nanoscience and Nanotechnology ESONN, August. This graduate-level course introduces relevant aspects of quantum transport, both in the normal and in the superconducting state. Lecture in English.

slides

Summerschool, June. This introductory course to Nanophysics presents several phenomena at play at the nanoscale. Topics include (i) Forces on the nanoscale (electrostatics, van der Waals, Casimir, applications to NEMS and AFM), (ii) Electron tunneling and applications (tunneling spectroscopy, STM, electronic transport through quantum dots, Coulomb blockade) and (iii) Coherent transport in mesoscopic devices (conductance quantization, Aharonov-Bohm effect, superconducting devices). Lecture in English.

Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Exam 2012 Solutions 2012 Exam 2013 Solutions 2013 Exam 2014 Exam 2015 Exam 2017