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.