Lecturer: Balázs Dóra 

Time and place: Monday 12:30-14:00 F3M05 Seminar room 

Necessary background: Quantum Mechanics 1 

Subjects:
Based on the undergraduate learning of Quantum Mechanics this course provides advanced knowledge in Quantum Mechanics according to the following topics: Identical particles, He-atom, Hartree- and Hartree-Fock approximation. Scattering theory, scattering amplitude and cross section, Green functions, Lippmann-Schwinger equation, Born series, method of partial waves. Motion in electromagnetic field, Aharonov-Bohm effect, Landau levels. Time evolution and pictures in Quantum Mechanics (Schrödinger, Heisenberg and Dirac pictures). Adiabatic motion and Berry phase. Relativistic Quantum Mechanics: Klein-Gordon equation, Dirac equation, continuity equation, Lorentz invariance, spin and total angular momentum, free electron and positron, non-relativistic limit, spin-orbit interaction. 

Grades 
- Prerequisite for exam/grade: a valid grade from the Quantum Mechanics 2 practical course. 
- Grades can be obtained by an oral exam: one subject is given from the topics discussed during the semester

Literature: Quantum mechanics 2 lecture notes (László Szunyogh & Bendegúz Nyári),
                    Relativistic QM (László Szunyogh & Bendegúz Nyári) 
                    Franz Schwabl: Quantummechanics, Springer 1990 
                    Albert Messiah: Quantummechanics, Vol. 1-2, North Holland, 1986