Sumários
Exercise class 2
13 Março 2024, 11:00 • João Nuno Ramalho Gonçalves Pires
Discussion and solution of the second series of exercises.
Theory lecture 3
13 Março 2024, 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.
Exercise class 1
6 Março 2024, 11:00 • João Nuno Ramalho Gonçalves Pires
Discussion and solution of the first series of exercises.
Theory Lecture 2
6 Março 2024, 08:30 • João Nuno Ramalho Gonçalves Pires
- 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)
Recommended reading: Chapter 3 of Mark Thomson's book. Chapter 6 of D.Griffith's book.
Theory lecture 1
28 Fevereiro 2024, 11:00 • João Nuno Ramalho Gonçalves Pires
- 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.