Special Theory of Relativity (English)
These are self-study video lectures needing only basic algebra.
1. Introduction: Space and time; relative motion, the concept of spacetime; frames of reference; Galilean transformations; the search for ether.
2. Einstein's Postulates: Two postulates of relativity; time dilation - a first look; length contraction - a first look; Lorentz transformation derivation; time dilation and length contraction derivation.
3. Simultaneity and Causality: how to synchronize clocks; why simultaneity is relative; revisiting length and time contraction; the invariant time interval; causality.
4. Adding Velocities: how we usually add velocities; adding velocities relativistically; the usual Doppler shift; the relativistic Doppler shift; problems.
5. Scalars, Vectors, and Tensors: 4-dimensional notation; Minkowski space; Einstein summation convention; the general Lorentz transformation; scalars-vectors-tensors.
6. Momentum and Energy: proper time; relatic=vistic velocity; relativistic momentum; relativistic energy; exercise.
7. Applications of Relativity: rest energy and kinetic energy; energy released in fission; units of energy in nuclear physics; the nergy and momentum of photons; application.
8. Electromagnetism and Relativity: what are electric and magnetic fields; current is charges in motion; electric current as a 4-vector; electric and magnetic fields of a long wire; transforming electric and magnetic fields between frames.