Sumários

Aula 17

22 novembro 2018, 16:00 • Filipe Rafael Joaquim

- Spinorial transformations for rotations, parity and time reversal. 

- The spin operator.  

- Total angular momentum as generator of rotations (the appearance of spin).

Aula 16

19 novembro 2018, 17:00 • Filipe Rafael Joaquim

- Problem solving: properties of the Dirac gamma matrices

- Infinitesimal Lorentz transformations: boosts and rotations

- Spinor transformations for boosts

Aula 15

15 novembro 2018, 16:00 • Filipe Rafael Joaquim

- KG equation for a particle under the Coulomb potential (the pionic atom)
- Heuristic derivation of the Dirac equation
- Continuity equation
- Dirac equation in covariant form
- Covariance relation

Aula 14

12 novembro 2018, 17:00 • Filipe Rafael Joaquim

Problem solving: transmission coefficient for KG particle under the action of a step potential.

Energy spectrum of a KG particle under the action of a static magnetic field.

Aula 13

8 novembro 2018, 16:00 • Filipe Rafael Joaquim

 -The Klein-Gordon equation: formulation, continuity equation, free-particle solutions

- Non-relativistic limit of the KG equation

- KG equation in the presence of fields, covariance.

- Gauge invariance of the KG equation