Day 222: Covariant Formulation of Electromagnetism

Learning Objectives

• •Construct the electromagnetic field tensor $F^{\mu\nu}$ from $\mathbf{E}$ and $\mathbf{B}$
• •Write Maxwell's equations in covariant tensor form
• •Define and use the electromagnetic 4-potential $A^{\mu}$
• •Understand gauge transformations in relativistic notation
• •Derive the Lorentz force from the field tensor
• •Connect the covariant formulation to quantum electrodynamics

Today's Schedule (7 hours)