Connection between classical mechanics and field theory
Special Relativity and Electrodynamics (Spring, 2012)
Lecture Playlist

The Lorentz transformation

Adding velocities

Relativistic laws of motion and E = mc^2^

Classical field theory

Particles and fields

The Lorentz force law

The fundamental principles of physical laws

Maxwell's equations

Lagrangian for Maxwell's equations

Connection between classical mechanics and field theory
June 18, 2012
Professor Susskind begins the final lecture with a review and comparison of the three different concepts of momentum: mechanical momentum from Newtonian mechanics, canonical momentum from the Lagrangian formulation of mechanics, and momentum that is conserved by symmetry under translation invariance from Noether's theorem. He then develops the connection between Lagrangian and Hamiltonian mechanics and field theory in more detail than in previous lectures.
Professor Susskind moves on to develop the concepts of energy and momentum density, and then applies these concepts to electromagnetic fields. He concludes the course with an introduction to energy and momentum flux, and the stressenergy tensor.
Topics:
 Comparison of the three concepts of momentum
 Connection between classical mechanics and field theory
 Energy and momentum density
 Stressenergy tensor