====== Traditional Roadmap====== Most universities follow the traditional roadmap, which follows the historical "order" of the theories. ===== Theoretical Physics ===== | Classical Mechanics|~@2| kinematics, forces, circular motion, energy, momentum, rotations, harmonic motion, Newton's laws, Lagrangian Mechanics, Hamiltonian Mechanics, phase space, configuration space | | |!@4| | | | | | | Electrodynamics |~@2 | Coulomb's Law, electric circuits, Maxwell's equations | | |! |!@4 | | |!| Special Relativity | ~@2 | Minkowski space, time dilation, proper time, Lorentz group, Poincare group, inertial frames of reference| | |!@4| | | | | | | Quantum Mechanics|~@2 | double slit experiment, Schrödinger's equations, canonical commutation relations, particle in a box, perturbation theory, Heisenberg picture, tunneling | | |!@4| | | | | | | Quantum Field Theory|~@2 | Klein-Gordan equation, Dirac equation, second quantization, scattering theory, path integral formalism | | |!@4| | | | | | | General Relativity|~@2 | Einstein equation, Schwarzschild metric| ===== Mathematics ===== There are several math topics that are usually learned parallel to the theories: | Classical Mechanics|~@8| trigonometric functions, differential calculus, integral calculus, differential equations, variational calculus, Legendre transforms| | |!@4| | | | | | | Electrodynamics |~@8 | vector calculus, complex numbers, systems of linear equations, linear algebra, Fourier transforms | | |! |!@4 | | |!| Special Relativity | ~@8 | group theory| | |!@4| | | | | | | Quantum Mechanics|~@8 | Hilbert spaces, special functions | | |!@4| | | | | | | Quantum Field Theory|~@8 | Taylor approximations, distributions, Greens functions | | |!@4| | | | | | | General Relativity|~@8 |differential geometry| ===== Experimental Physics ===== In addition, there are other topics that are often covered in "experimental physics" courses: * Optics * Waves * Nuclear Physics