Lectures: 1. Introduction  historical outline. Experiments hinting towards incompleteness of classical theory. 2. Uncertainty principle, determinism of classical physics and probability interpretation of quantum mechanics. 3. Comparison of description of observables and states in classical and quantum theory, correspondence principle. 4. Wave function and its interpretation as probability amplitude, superposition principle. 5. Waveparticle duality, de Broglie relations, doubleslit experiment. 6. Mathematical description: complex numbers, vector spaces, scalar product, matrix representation, Hilbert space, wave function, basis and dimension, superposition, operators, hermicity, unitarity, symmetries. 7. State of a particle as a ray in Hilbert space, superposition of states as a linear combination of vectors. 8. Physical observables and hermitian operators correspondence, meaning of unitarity, relations between operators. 9. Examples of wave functions (scalar, spinor, vector), wave packets, group and phase velocity, mass and dispersion. 10. Dirac symbolism. Operators as matrices, eigenstates and eigenvalues, examples. 11. Operators corresponding to concrete observables, meaning of commutator relations, uncertainties, eigenstates and eigenvalues, types of spectra, measurement, simultanneously measurable quantities, mean values. 12. Orbital angular momentum, corresponding operators, eigenstates, eigenvalues. Spin and its operators, Pauli matrices, operators. 13. Time evolution of states, Hamiltonian, Schrődinger equation, examples. Conservation laws, correspondence principle. Interactions. 14. Identical particles, fermions, bosons, Pauli excluding principle and its consequences in periodic table, shapes of orbitals, superconductivity, superfluidity, boson condensate. Problem classes: consist of solving simple problems illuminating the material from the lectures.

Monological explanation (lecture, presentation,briefing), Selfstudy (text study, reading, problematic tasks, practical tasks, experiments, research, written assignments)
 Class attendance
 20 hours per semester
 Preparation for exam
 64 hours per semester
 Class attendance
 56 hours per semester


BRANDT S., DAHMEN H.D. Kvantová mechanika v obrazoch. Bratislava, 1990.

DAVYDOV, A.S. Kvantová mechanika. Praha: SPN, 1978.

KVASNICA,J. Kvantová fyzika. Ústí nad Labem, 1984.

LACINA, A. Cvičení z kvantové mechaniky pro posluchače učitelství fyziky. Brno, 1989.

SKÁLA., L. Úvod do kvantové mechaniky. Praha, 2012. ISBN 9788024620220.
