Recall of the Schroedinger equation. Probability density and current. Lorentz transformations and relativistic formalism. Klein-Gordon equation. Probability density and current. Negative energies and negative probability density. Quantum electrodynamics of spinless particles. Electron-muon scattering. Effective cross-section and invariant amplitude. Decay rate. Dirac equation. Gamma matrices, spinors, probability density. Solutions of the Dirac equation, spin=1/2 particles, antiparticles, helicity, massless fermions. Transformations of the Dirac spinor. Bilinear quantities. The Lagrange-Hamilton formalism. Euler-Lagrange equations. Classical field mechanics. Noether s Theorem. Invariance of the Lagrangian under internal transformations. Invariance in non-Abelian global symmetries. Non-Abelian local symmetries. Quantum Chromodynamics (QCD). Spontaneous symmetry breaking. Spontaneous symmetry breaking in gauge theories. Abelian and non-Abelian cases. The Standard Model. The Higgs particle. The masses of gauge bosons. The masses of fermions. Generation mixing. CKM matrix. Neutrino masses. The physics of the Higgs particle.
- Teacher: ΓΕΩΡΓΙΟΣ ΖΟΥΠΑΝΟΣ
- Teacher: Χριστοφορος Κουβαρης
ECTS : 5
Language : el