Discussion and solution of the second series of exercises.

• 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.

Discussion and solution of the first series of exercises.

• Dirac Delta function
• Observables in Particle Physics: Decay rates and Cross sections
• Relativistic Fermi Golden rule for decays
• General expression for the decay rate 1->2+3
• Relativistic Fermi Golden rule for scattering cross sections
• General expression for the differential cross section for the process 1+2->3+4 (center of mass frame, laboratory frame)
• Laboratory frame differential cross section for e+p -> e+p scattering (neglecting electron mass m_e << m_p)

• Review of Special Relativity: Lorentz transformations, metric tensor and covariant and contravariant vectors 
• Mandelstam s,t,u variables
• Fixed target and Circular Collider experiments

Recommended reading: Chapters 1 and 2 of Mark Thomson's book. Chapter's 2 and 3 of D.Griffith's book.