Quantum Physics I

This lecture delves into the analysis of Hamiltonians with non-normalized states, focusing on the Hamiltonian of free particles. By reconciling the issue of non-normalizable states with physical reality, the evolution of wave functions over time is explored, revealing interesting behaviors such as wave packet movement and scattering in step potentials. The lecture also covers the impact of barriers on wave packets, showcasing how they affect the transmission and reflection of waves, leading to shifts in the wave packets' positions and delays in their reflections.