Group and Phase Velocities of Wave Packets in Quantum Mechanics

Explore a 44-minute video lecture on the group and phase velocities of wave packets in quantum mechanics. Delve into the fundamental concepts of wave packets, dispersive and non-dispersive media, and the distinctions between group and phase velocities. Learn how group velocity relates to the speed of quantum particles, while phase velocity corresponds to the wavefunction's propagation. Examine the evolution of wave packets as approximations of classical particle trajectories, and understand why phase velocity can exceed the speed of light without violating physical laws. Gain insights into the oscillatory behavior of waves within packets and their significance in quantum mechanical systems.