Charged Particle in Magnetic Field

This lecture covers the behavior of a charged particle in a constant magnetic field, discussing classical action, Hamiltonian, kinetic momentum, and gauge transformations in both classical and quantum mechanics. The instructor explains the spatial translations realized and the function of the Hamiltonian. The lecture also delves into the matrix elements of the kinetic momentum and the prob. density, emphasizing gauge invariance and the prob. current. Additionally, it explores canonical transformations, conjugate momentum, and the non-relativistic limit. The concepts are illustrated through examples and exercises.