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Course: Fundamentals of Quantum Mechanics

Department/Abbreviation: SLO/ZKM

Year: 2021

Guarantee: 'Mgr. Jiří Kvita, Ph.D.'

Annotation: To explain fundamentals of quantum mechanics.

Course review:
1. Historical introduction, quantum hypothesis a. Planck law, black body radiation spectrum, atomic spectra b. photoeffect, Compton scattering c. de Broglie's hypothesis 2. Postulates of quantum mechanics a. Quantum state, principle of superposition, observables b. Probabilistic character of measurement c. Predictions, expectation values 3. Schroedinger equation a. probability density, wave function interpretation, normalization b. Free particle, plane waves 4. The uncertainty principle a. non-compatible observables, commutator, dependence of measured values on the order of measurements. 5. Simple quantum systems and their spectra a. infinite and finite square well and a barrier b. scattering and tunelling c. harmonic oscillator, ladder operators. 6. Angular momentum and spin a. quantization, commutation relations b. spin of an electron, Stern-Gerlach experiment 7. Hydrogen atom a. quantum numbers, stationary states, spectrum.