Special relativity and electrodynamics (covariance, metric tensor, field tensor, potentials)
Slides and transcripts: https://drive.google.com/drive/folder...
TYPO: at 1:06:58, on the left sides of the arrows it should say E_y/c and E_z/c instead of E_y and E_z (so that if beta=0, gamma=1, the expressions are the same on both sides of the arrows).
Many thanks to Henk Bart for providing useful feedback
0:00 Introduction
11:02 Galilean transform
13:45 Lorentz transform (intuition)
21:41 Lorentz transform (mathematics)
27:40 Relativistic mechanics
42:34 Basis transformations: co(ntra)variance
48:20 Metric tensors (general)
50:58 Metric tensor in special relativity
54:23 Covariant/Einstein notation
58:52 Electromagnetism
1:03:25 Transformation of fields (EM field tensor)
1:07:58 Potentials
1:15:18 Retarded time, retarded potentials
1:18:22 Transformation of potentials
1:19:58 Covariant formulation of Maxwell's equations
1:22:40 Importance of symmetries
1:25:05 Summary
