FYSS7531 Quantum Mechanics 2, part A (6 cr)
Time dependent perturbation theory
Quantum mechanical charged particle in electromagnetic field
Open quantum systems and quantum information
Basics of group theory
Connection between angular momentum and representations of rotation group
Mathematical methods mostly familiar from Quantum Mechanics I. New mathematical machinery:
- Calculus of residues (FYSS7301 Complex analysis)
- Groups and representations (group theory course in physics, algebra courses in mathematics)
- These will be briefly introduced in the course, thus the courses mentioned are useful but not compulsory.
After the course the student can
Explain the basics of quantum mechanical scattering theory and use the Born approximation to calculate a scattering amplitude
Use the different pictures (Schrödinger, Heisenberg and interaction) of time dependence in quantum mechanics
Calculate transition rates with time dependent perturbation theory (Fermi’s golden rule)
Descibe the coupling between a classical electromagnetic field and a quantum mechanical charged particle
Explain the use of the density matrix to describe the properties of open quantum systems and the basics of quantum information
Explain the relation of quantum mechanical angular momentum to the rotation group and its representations
Understand the concept of total angular momentum and apply the addition of quantum mechanical angular momenta to physical situations.
Every spring, 1st period
Description of prerequisites
- J.J. Sakurai and J. Napolitano: Modern Quantum Mechanic
- Bransden and Joachain: Quantum Mechanics
- Nazarov & Danon: Advanced quantum mechanics (ISBN 978-0521761505); ISBN: 978-0521761505
Teaching (6 cr)
Classes, tutorials, exercise problems, (oral) exam.
Independent study (6 cr)
Self-study, exercises, exam.