Learning outcomes

Application of QM in atomic and molecular physics, nuclear physics and solid state physics (including quantum harmonic oscillator)

Kinetic moment and spin

Approximation methods for complex systems

Goals

The students will be familiar with the notions of kinetic moment and spin. The applications of QM in atomic and molecular physics, nuclear physics and solid state physics will be addressed : harmonic oscillator, symetries, Hydrogen atoms, approximation methods.

Content

The lecture propose an introduction at the use of kinetic moment and spin in quantum mechanics. It addresses also basics problem in physics : harmonic oscillator, symetries, hydrogen atom, approximation methods

Table of contents

I. Harmonic Oscillator in QM

II the Kinetic moment

III. The spin

IV. The Dirac equation

V. Composition of kinetic moment

VI.Multidimensional systems

VII. Density operator

VIII. Approximation methods: stationary

IX. Approximation methods: time dependent

 

Assessment method

Oral exams with preparation (50 %) during the exam session for theory

Written exams (50%) during the exam session for exercises

If one of the two grades is inferior to 8, the global exam is automatically considered failed (independently of the grade average).

A student that during the first session obtained a mark of a least 10/20 either for the exercises or for the entire theory part benefits from a partial exemption of either the exercises or the entire theory for the second exam session.

There is normally no partial exemption for one of the two parts of the theory (Y. Caudano or Y. Olivier parts) because these two parts are involved in the same learning activity ("activité d'apprentissage - AA"). The course holders allow for an exemption in their respective part of the theory for the second exam session in case a grade of 14/20 is obtained during the first session.

Sources, references and any support material

C. Cohen-Tannoudji, B. Diu et F. Laloë, Mécanique quantique I (Editions Hermann, Collection : Enseignement des sciences, 1997)

C. Cohen-Tannoudji, B. Diu et F. Laloë, Mécanique quantique II (Editions Hermann, Collection : Enseignement des sciences, 1997)

J.-M. Lévy-Leblond, F. Balibar, Quantique : Rudiments (Dunod, Collection : Les cours de reference, 2007)

C. Ngô, H. Ngô ,Physique quantique : Introduction - Cours et exercices corrigés (Dunod, Collection : Sciences sup physique, 2005)

B.H. Bransden, C.J. Joachain. Quantum Mechanics. Pearson Education (2000)

Mécanique Quantique. C. Aslungul. De Boeck - Larcier (2007)

Quantique. Fondements et applications. J.-P. Pérez, R. Charles, O. Pujol. De Boeck (2013)

Language of instruction

Français
Training Study programme Block Credits Mandatory
Bachelier en sciences physiques Standard 0 5
Bachelier en sciences physiques Standard 3 5