Descriptif

Prerequisite: PHY205

As its name suggests, this course is a sequel to PHY205 “Introduction to Quantum Physics”. It will expand our view on three-dimensional quantum mechanical problems, by applying the formalism to the description of atoms and particles in a magnetic field. This includes also a deeper analysis of angular momentum, and its relation to rotational symmetry. We will discover approximation techniques for time-independent and time-dependent phenomena, and apply them to the detailed description of the hydrogen atom. The quantum-mechanical description of scattering will be introduced. Furthermore, we will study the notion of entanglement which is fundamental to quantum cryptography and quantum computing. The description of identical particles in quantum mechanics will build the bridge to the Pauli exclusion principle and the spin-statistics connection.

The following subjects are expected to be treated:
❯ The addition of angular momenta
❯ The notion of spin and magnetic resonance
❯ The hydrogen atom
❯ Approximation methods and time independent perturbation theory
❯ Entangled states, the EPR paradox and quantum information
❯ Particles in a magnetic field, Landau levels
❯ Identical particles and the spin-statistics connection
❯ Time-evolution and time-dependent perturbation theory
❯ Scattering theory.