Dirac Equation: Properties and Solutions

This lecture covers the properties of the Dirac equation, including the introduction of the four Dirac gamma matrices and their properties. It also discusses the solutions of the Dirac equation for free particles at rest and moving particles, as well as the concept of antiparticles. The lecture explores the adjoint spinor, four-vector current, and the concept of helicity for Dirac particles. Additionally, it delves into the charge conjugation, parity, and time reversal operations in the context of the Dirac equation.