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