Fakultät für Mathematik und Naturwissenschaften

Advanced Quantum Mechanics Lecture 1: Review of Concepts in Quantum Mechanics 1 -- From quantization rules to wave mechanics and beyond.

Advanced Quantum Mechanics Lecture 2: Review of Concepts in Quantum Mechanics 2 -- Combining System, entanglement, and the density operator.

Advanced Quantum Mechanics Lecture 3: Nonrelativistic Scattering Theory 1 -- From the Lippmann-Schwinger equation to the 1st Born approximation.

Advanced Quantum Mechanics Lecture 4: Nonrelativistic Scattering Theory 2 -- Multiple scattering, another angle: partial wave expansion.

Advanced Quantum Mechanics Lecture 5:Path integration 1 -- Basic concepts.

Advanced Quantum Mechanics Lecture 6: Path integration 2 -- Selected examples and relation to Schrödinger’s equation

Advanced Quantum Mechanics Lecture 7: Path integration 3 -- Aharanov-Bohm effect. Nonrelativistic time-dependent perturbation theory 1 -- General ideas and simple examples.

Advanced Quantum Mechanics: Lecture 8: Nonrelativistic time-dependent perturbation theory 2 -- Fermi’s Golden rule applied to the IR absorption coefficient.

Advanced Quantum Mechanics: Lecture 9: Quantum Theory of radiation - creation and annihilation of photons

Advanced Quantum Mechanics Lecture 10: Quantum theory of radiation - absorption, emission and scattering of light

Advanced Quantum Mechanics Lecture 11: Relativistic Particle Mechanics - Klein Gordon and Dirac Equations: Resume of the principles and results of special relativity

Advanced Quantums Mechanics Lecture 12: Relativity and antiparticles; the electron spin

Advanced Quantum Mechanics: Lecture 13: Relativistic wave equations: Klein-Gordon and Pauli equations

Advanced Quantum Mechanics: Lecture 14: Relativistic wave equations: Dirac equation

Advanced Quantum Mechanics: Lecture 15: Nonrelativistic approximation to the Dirac equation

Advanced Quantum Mechanics: Lecture 16: Free particle solution of Dirac equation

Advanced Quantum Mechanics: Lecture 17: Free particles from another angle; central force problems

Advanced Quantum Mechanics: Lecture 18: Relativistic hydrogen-like atoms

Advanced Quantum Mechanics: Lecture 19: Electron self energy and mass renormalization

Advanced Quantum Mechanics: Lecture 20: Bethe's estimate of the Lamb shift

Advanced Quantum Mechanics: Lecture 21: Thomson scattering revisited – the importance of negative energies

Advanced Quantum Mechanics: Lecture 22: Another strange infinity – the Casimir effect

Advanced Quantum Mechanics: Lecture 23: Many Particle Systems: Two kinds of statistics, constructing N-particle wave functions, creation and annihilation of Fermions

Advanced Quantum Mechanics: Lecture 24: Statistical potential – the not so ideal quantum ‘ideal gas’

Advanced Quantum Mechanics: Lecture 25: Electronic structure - Hartree-Fock self-consistent field method

Advanced Quantum Mechanics: Lecture 26: Electronic structure - continuation HF; the Roothaan equations

Advanced Quantum Mechanics: Lecture 27: Electron correlation; a glimpse of computational chemistry with GAMESS

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