FYSS7531 Quantum Mechanics 2, part A (6 cr)

• Scattering theory

• 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