260267 VO Theoretical Physics II: Quantum Mechanics I (2019S)

Goals: Clear understanding of the elementary principles of quantum theory and their application to simple physical systems. Ability to solve simple theoretical problems in nonrelativistic quantum mechanics.

Content: Double-slit experiment: classical vs. quantum-mechanical, pure state, observables (with or withour degeneracy), probability (Born's rule), measurement, two-level system (qubit), spin and Stern-Gerlach experiment, N-level system, the Uncertainty Relation, time evolution, Schrödinger's equation (stationary and non-stationary), observables with continous spectrum, the correspodence principle, coordinate, momentum as a generator of translations, de Broglie wave-length, free particle, different pictures (Schrödinger, Heisenberg), one-dimensional problem, time-energy uncertainty, harmonic oscilator, creation and anihilation operators, mixed states (measurement and time evolution), many particle sysetms (tensor product of vector spaces), entanglement, Bell's theorem, symmetries and Wigner-theorem, rotation and angular momentum, Schrödunger's equations in central force fields (hydrogen atom), perturbation theory (stationary), Zeeman-effect, Stark-effect.

Method: Ex-cathedra teaching