Theory lecture 3

9 Março 2022, 08:30 João Nuno Ramalho Gonçalves Pires

  • Klein-Gordon equation: negative particle energy solutions and unphysical negative probability densities
  • Dirac equation
  • Properties of the Dirac gamma matrices
  • Adjoint Spinor and covariant current: Dirac equation solutions with positive probability densities
  • Solutions to the Dirac Equation
  • Antiparticles prediction: Dirac sea interpretation and Feynman-Stuckelberg intrepretation
  • Dirac particle u1(p), u2(p) and anti-particle spinors v1(p),v2(p)
Recommended reading: Chapter 4 of Mark Thomson's book. Chapter's 7.1-7.3 of D.Griffith's book.