1. Introduction - historical context and the need for a new theory.
2. Postulates of quantum mechanics, Schrödinger equation, time dependent and stationary, the equation of continuity.
3. Operators - linear Hermitian operators, variables, measurability. Coordinate representation.
4. Basic properties of operators, eigenfunctions and eigenvalues, mean value, operators corresponding to the selected physical variables and their properties.
5. Free particle waves, wavepackets. The uncertainty relation.
6. Model applications of stationary Schrödinger equation - piece-wise constant potential, infinitely deep rectangular potential well - continuous and discrete energy spectrum.
7. Other applications: step potential, rectangular potential well, square barrier potentials - tunneling effect.
8. Approximations of selected real-life situations by rectangular potentials.
9. The harmonic oscillator in the coordinate representation and the Fock's representation.
10. Spherically symmetric field, the hydrogen atom. Spin.
11. Indistinguishable particles, the Pauli principle. Atoms with more
than one electrons optical and X-ray spectrum.
12. The basic approximations in the theory of chemical bonding.
13. Interpretation of quantum mechanics.
2. Postulates of quantum mechanics, Schrödinger equation, time dependent and stationary, the equation of continuity.
3. Operators - linear Hermitian operators, variables, measurability. Coordinate representation.
4. Basic properties of operators, eigenfunctions and eigenvalues, mean value, operators corresponding to the selected physical variables and their properties.
5. Free particle waves, wavepackets. The uncertainty relation.
6. Model applications of stationary Schrödinger equation - piece-wise constant potential, infinitely deep rectangular potential well - continuous and discrete energy spectrum.
7. Other applications: step potential, rectangular potential well, square barrier potentials - tunneling effect.
8. Approximations of selected real-life situations by rectangular potentials.
9. The harmonic oscillator in the coordinate representation and the Fock's representation.
10. Spherically symmetric field, the hydrogen atom. Spin.
11. Indistinguishable particles, the Pauli principle. Atoms with more
than one electrons optical and X-ray spectrum.
12. The basic approximations in the theory of chemical bonding.
13. Interpretation of quantum mechanics.