Quantum Physics I

This lecture marks an important turning point as it delves into the analysis of the Schrödinger equation in more realistic scenarios, focusing on three-dimensional concepts like angular momentum. The instructor connects discrete and continuous spaces, emphasizing the association of physical operations with observables. The lecture explores rotations, introducing the concept of total angular momentum and demonstrating the commutation relations between different components. The discussion extends to the diagonalization of observables and the significance of operators that commute. The instructor also covers the properties of rotation operators and their implications, providing a comprehensive overview of quantum physics concepts.