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resources:roadmaps:traditional

Most universities follow the traditional roadmap, which follows the historical "order" of the theories.

Classical Mechanics | kinematics, forces, circular motion, energy, momentum, rotations, harmonic motion, Newton's laws, Lagrangian Mechanics, Hamiltonian Mechanics, phase space, configuration space | |||||||||||||||||

Electrodynamics | Coulomb's Law, electric circuits, Maxwell's equations | |||||||||||||||||

Special Relativity | Minkowski space, time dilation, proper time, Lorentz group, Poincare group, inertial frames of reference | |||||||||||||||||

Quantum Mechanics | double slit experiment, Schrödinger's equations, canonical commutation relations, particle in a box, perturbation theory, Heisenberg picture, tunneling | |||||||||||||||||

Quantum Field Theory | Klein-Gordan equation, Dirac equation, second quantization, scattering theory, path integral formalism | |||||||||||||||||

General Relativity | Einstein equation, Schwarzschild metric | |||||||||||||||||

There are several math topics that are usually learned parallel to the theories:

Classical Mechanics | trigonometric functions, differential calculus, integral calculus, differential equations, variational calculus, Legendre transforms | |||||||||||||||||

Electrodynamics | vector calculus, complex numbers, systems of linear equations, linear algebra, Fourier transforms | |||||||||||||||||

Special Relativity | group theory | |||||||||||||||||

Quantum Mechanics | Hilbert spaces, special functions | |||||||||||||||||

Quantum Field Theory | Taylor approximations, distributions, Greens functions | |||||||||||||||||

General Relativity | differential geometry | |||||||||||||||||

In addition, there are other topics that are often covered in "experimental physics" courses:

- Optics
- Waves
- Nuclear Physics

resources/roadmaps/traditional.txt · Last modified: 2018/05/05 15:18 by jakobadmin

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