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
Professor Susskind moves on from relativity to introduce classical field theory. The most commonly studied classical field is the electromagnetic field; however, we will start with a less complex field  one in which the field values only depends on time  not on any spatial dimensions.
Professor Susskind reviews the action principle and the Lagrangian formulation of classical mechanics, and describes how they apply to fields. He then shows how the generalized classical Lagrangian results in a wave equation much like a multidimensional harmonic oscillator.
Next, professor Susskind brings in relativity and demonstrates how to create a Lorentz invariant action, which implies that the Lagrangian must be a scalar.
The lecture concludes with a discussion of how a particle interacts with a scalar field, and how the scalar field can give rise to a mass for an otherwise massless particle. This is the Higgs mass mechanism, and the simple time dependent field we started the lecture with is the Higgs field.
 Introduction to classical field theory
 Action and Lagrangian for a field in fourspace
 Continuum mechanics
 Introducing relativity into the Lagrangian formulation for a field
 Particle interacting with a simple scalar field
 Higgs mechanism