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Subject

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.

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Literature:

Franz Schwabl: Quantummechanics, Springer 1990

Albert Messiah: Quantummechanics, Vol. 1-2, North Holland, 1986

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Lecturer in the semester 2021/22/1: Laszlo Szunyogh szunyogh@ttk-bme.hu