Jérôme Lesueur

For the student in first year at ESPCI, I make a brief introduction to Quantum Mechanics. I start with a basic lecture on Waves Mechanics to introduce the notions of wave functions, spectral decomposition and the Schrödinger equation. Simple cases like particles in a scalar energy landscape with wells and barriers are studied. Then I move on to the formalism of Quantum Mechanics. I apply it to the measurement of a two-levels system. Follow different basic applications such as the harmonic oscillator, the kinetic momentum and the hydrogen atom. I then introduce the spin, and the combination of kinetic momenta. I finished by a brief introduction to multi-particle problems and the quantum statistics.