2010 PDE2 Classical Field Theory

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To Do List

1. Derive Scalar Field Equation in Minkowski background

2. Global to Local Symmetry Breaking and Maxwell's equations

  • What are Maxwell's equations? Express them in tensor $F^{\mu \nu}$ notation and in differential forms (Cartan) $dF$ notation.
  • Show that Maxwell's equations are hyperbolic; find the wave equation inside Maxwell's equations.

3. Lagrangian Formulation of the Field Equations in General Relativity.

Topics

Lorentz Covariant Equations

General Relativity

EM Theory

Motivation for Schrödinger's Equation from Quantum Mechanics

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