M11 · Classical field theory
A 16-module path through m11 · classical field theory, in study order from foundations to the frontier.
Modules
- From Discrete Systems to Continuous Fields
- The Lagrangian Density and Field Action
- Euler-Lagrange Equations for Fields (M11)
- Functional Derivatives and Field Variations
- Hamiltonian Formulation for Fields
- Poisson Brackets for Fields
- Noether's Theorem for Continuous Symmetries
- Conserved Currents and Charges
- Internal Symmetries and Conserved Charge
- The Canonical Stress-Energy Tensor
- Symmetrization and the Belinfante-Rosenfeld Tensor
- Angular Momentum and Spin Current in Fields
- Lorentz Covariance of Classical Field Theory
- The Classical Scalar Field and Klein-Gordon Equation
- Classical Limit and the Correspondence Principle
- The Action Principle as Bridge to Quantum Field Theory