Quantum Mechanics: Angular Momentum Composition

This lecture covers the composition of angular momenta, starting with the introduction to composite systems in quantum mechanics. The instructor explains the tensor product basis and the properties of the Clebsch-Gordan coefficients, which are crucial for connecting different representations of angular momentum. The lecture also delves into the conditions for the total angular momentum and the possible values for the quantum numbers. Practical applications are discussed, including the diagonalization of angular momentum operators for composite systems. The session concludes with a preview of the upcoming practical examples involving spin-1/2 particles.