Introduction -- Quantum mechanical laws -- The Schrödinger equation -- Angular momentum -- Symmetry and statistics -- Three-dimensional problems -- Some finer points of quantum mechanics -- Path integrals -- Perturbation theory -- Variational methods -- The semi-classical approximation -- Time evolution -- Metastable states -- Electromagnetic interactions -- Atoms -- Elastic scattering theory -- Atomic nuclei and elementary particles -- Quantum entanglement -- Probability and measurement -- Supplements for part I -- Supplements for part II -- Supplements for part III -- Supplements for part IV -- Mathematical appendices and tables.