This course assumes that the student has a knowledge of mathematics and physics at the undergraduate level, and has passed courses in Quantum Mechanics at Master and/or advanced Bachelor level.
The course consists of three main parts:
- Scattering Theory
- Lippmann Schwinger equation, Scattering amplitude, t-matrix
- Partial Wave Expansion, Effective Range Expansion, Scattering Length
- Examples: hard-sphere scattering, finite well, ...
- Relativistic Quantum Mechanics
- Klein-Gordon equation: probability density, positive and negative energy solutions
- Dirac equation: standard representation, covariant representation, gamma matrices
- (non-relativistic) Second Quantization
- Symmetrization, Occupation number formalism
- Creation and Annihilation Operators, Commutation, Anticommutation rules for bosons, fermions
The aim of the course is to advance the students' understanding of non-relativistic and relativistic quantum mechanics. The course is planned as a continuation of "Quantum Mechanics" (FKA081) and will give the necessary background for studies in statistical quantum mechanics, nuclear and particle physics, and quantum field theory. After having taken Advanced Quantum Mechanics the student will have acquired the following skills:
- A working knowledge of non-relativistic and relativistic quantum mechanics including time-dependent perturbation theory, scattering theory, relativistic wave equations, and second quantization.
- The ability to understand concepts and to perform calculations of scattering of particles.
- The ability to critically understand and evaluate modern research utilizing quantum theory in condensed matter, nuclear and particle physics.
Lecturer and examiner