Quantum Physics I

This lecture delves into the characterization of 3-dimensional systems, focusing on rotational degrees of freedom and the development of systematic and algebraic rotation theory. The concept of angular momentum is introduced through rotation matrices and operators, leading to the discussion of commutation relations and the diagonalization of the angular momentum operator. The lecture also explores the concept of spin rotation, the orbital angular momentum operator, and the determination of spherical harmonics. The uniqueness condition for eigenfunctions and the quantization of angular momentum values are discussed, emphasizing the importance of integer values for the quantum orbital angular momentum.