Sumários

Feynman rules

31 Maio 2024, 14:00 Luís Bento

Application of time-dependent perturbation theory to processes with Yukawa interaction. Scalar boson decay, fermion-boson scattering and fermion anti-fermion annihilation. Derivation of the Feynman rules for the transition amplitudes. Scalar boson and fermion propagators. Extension to QED. Derivation of the vertices rules for scalar QED and anomalous magnetic moment coupling.


Spinor field quantization. Matrix S.

29 Maio 2024, 15:30 Luís Bento

Dirac spinor Hamiltonean, linear momentum and charge operators, commutation relations with the spinor field. Free spinor field, particle and anti-particle creation and annihilation operators.

Schrödinger, Heisenberg and Dirac representations. Time-dependent perturbation theory, interaction respresentation in field theory. Matrix S expansion.


Spinor field quantization

29 Maio 2024, 12:00 Luís Bento

Poisson and Dirac brackets. Quantization of the Dirac spinor field.


Electromagnetic field quantization

22 Maio 2024, 15:30 Luís Bento

Quantization of the electromagnetic field in the Coulomb gauge. Electromagnetic free radiation field, Hamiltonean and linear momentum operators. Photon creation and annihilation operators.


Exercises

22 Maio 2024, 12:00 Luís Bento

Clarification about exercises of series 2 and 3 namely, exercises to be delivered by students for evaluation.