Quantum Mechanics I
MIT OpenCourseWare offers the fundamentals of quantum mechanics, covering wave properties, uncertainty principles, the Schrodinger equation, and operator and matrix methods. The course builds up commutation rule definitions of scalar, vector, and spherical tensor operators, then works through the Wigner-Eckart theorem and 3j (Clebsch-Gordan) coefficients. Later sessions apply this machinery to many-body systems, including many-electron atoms and electronic structure, anharmonically coupled harmonic oscillators used to model intramolecular vibrational redistribution, and periodic solids. Materials include lecture notes, problem sets, and exams as published through MIT OpenCourseWare, free to access with no certificate attached. The course sits at an advanced level, assuming prior exposure to introductory quantum theory, and is aimed at students in chemistry and physics who need the operator formalism used in molecular spectroscopy and solid state theory.