Introduction à la mécanique quantique II

This course is the continuation of the first semester course  "Introduction to quantum mechanics I".

We will treat the quantum mechanics of a particle in three spatial dimensions which will lead us in particular to the study of angular momentum in general  which in turn is closely relates to the rotations of space.  We will study central potential problems in general and the hydrogen atom in particular. The addition of angular momenta is discussed. We treat the quantum mechanics of a charged particle in an electromagnetic potential in some detail with emphasis on the notion of gauge invariance. The relativistic Dirac equation and its non-relativistic limit is briefly mentioned to obtain the correct coupling of the magnetic moment of spin 1/2 particles to a magnetic field. Symmetrisation and anti-symmetrisation for identical bosons and fermions is discussed and the second-quantised formalism is mentioned. The lecture ends with a discussion of the role of symmetries and the associated selection rules.