Intrinsic spins, Pauli matrices, spinors. Addition of angular momenta, Clebsch-Gordon coefficients, Wigner-Eckart Theorems, applications. Approximate treatments: variation methods, overlap integrals, Block wavelength. WKB methods. Stationary perturbation, degeneracy. Fine structure and hyperfine structure in atoms. Approximations for time dependent problems: Fermi-Golden rules. Classical fields: Lagrangian density, variational principle, field equations, normal modes. Field quantization: quantization of continuous systems, EM radiation, photons, EM-atom coupling, spontaneous emission. Relativistic single particle: Dirac equation, free space solution, central force solution.
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