Selected chapters from quantum mechanics

- Faculty of Informatics, Masaryk University, Brno
- code: IA082
- B411, Wednesdays 12:00-13:30
- winter semester, since 2004
- lecturer: Mario Ziman

Descpription: These lectures are meant to be for students of informatics. The presentation of individual topics will be simplified and I will try to avoid all the technicalities.

§ 1. Introduction
- outline, magic of polarization filters, √NOT gate

§ 2. Superposition principle
- quantum probabilities, double-slit experiment, interference, concept of quantum state

§ 3. Uncertainty relations
- position and velocity, physical quantities, Heisenberg relations, uncertainty, polarization of a photon

§ 4. Quantum states and measurements
- complete quantum knowledge, measurement devices, Born rule, pure and mixed states

§ 5. Schrodinger equation
- time and evolution, unitarity, projection postulate, energy, stationary states,

§ 6. Hydrogen atom
- history, structure of the mass, spectrum, Bohr's postulates, quantum model and solution

§ 7. Electron's spin
- Zeeman effects, Stern-Gerlach experiments, Bloch sphere,

§ 8. Einstein-Podolski-Rosen paradox
- composite quantum systems, tensor product, EPR paradox and Bohr's reasoning

§ 9. Bell's inequalities
- local hidden variable model, CHSH inequality, experiments and loopholes

§ 10. Quantum information
- no-cloning theorem, quantum one-time pad protocols: teleportation and super-dense coding

§ 11. Decoherence
- open system dynamics, measurement model

§ 12. Elementary particles
- fermions and bosons and tensor products, standard model, CERN

Recommended literature:
• Mário Ziman: Incomplete lecture notes ps súbor (in Slovak)
• Vladimír Bužek: Lecture notes link (in Slovak)
• J.Pišút, I.Gomolčák, V.Černý: Úvod do kvantovej teórie
• Miloslav Dušek: Koncepční otázky kvantové teorie

Exam:
- written test, optional oral examination