Pt. I. Elementary quantum theory. An introduction to quantum mechanics -- pt. II. Quantum statistics of many-particle systems: formulation of the free-electron model for metals. Many-particle systems and quantum statistics -- Free-electron model and the Boltzmann equation -- pt. III. Approximation techniques for the Schrödinger equation. The WKB approximation and electron tunneling -- Perturbation theory, diffraction of valence electrons, and the nearly-free-electron model -- pt. IV. Energy bands in crystals. The periodicity of crystalline solids -- Bloch's theorem and energy bands for a periodic potential.