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The Dirac equation for a moving particle
This lecture covers the Dirac equation for a moving particle, introducing the Dirac gamma matrices and the slash notation. It explores the properties of the gamma matrices, the Pauli-Dirac representation, the four-vector current, and the adjoint spinor. The lecture delves into the solutions for a moving particle, including the negative energy solutions and antiparticles. It discusses the interpretation of negative energy solutions as antiparticles and presents two approaches to define antiparticle wavefunctions. The lecture concludes with the normalization and orthogonality of the particle and antiparticle spinors.