This lecture delves into the wave mechanics in quantum physics, focusing on the Schrodinger equation and its connection to Hamiltonians. The instructor explains the mathematical content covered in the previous week, such as solving the Schrodinger equation in different contexts and finding stationary states. The lecture explores the importance of stationary states in resolving the Time-Independent Schrodinger equation and discusses the concept of probability flux. Additionally, it covers the analysis of scattering states and their relevance in physics, emphasizing the significance of non-physical states in mathematical solutions. The lecture concludes with a detailed examination of wave packets and their behavior in different potentials, providing insights into the dynamics of quantum systems.