Quantum Mechanics: Principles and Wave Functions

This lecture covers the principles of quantum mechanics, focusing on the Schrödinger equation, wave functions, and the total energy operator. It explains the importance of the wave function in determining the most probable values of observables. The lecture also delves into the concept of particles confined in a box, discussing energy quantization, edge conditions, and graphical representations of solutions. Additionally, it explores the implications of heavy particles having lower energy levels compared to light particles and the quantification of possible energies. The instructor demonstrates the application of the Schrödinger equation in determining energy levels and the behavior of particles in different spatial dimensions.