Hydrogen atom: Review of the Bohr atom model, solution of the Schrodinger equation, spectra of hydrogen and hydrogen-like atoms.Review of time-independent perturbation theory. Fine structure of the hydrogen atom: spin-orbit coupling and relativistic correction to the kinetic energy. Review of the Dirac equation. Dirac equation in the non-relativistic limit.

Zeeman and Stark Spectroscopy Hyperfine interaction in atomic Hydrogen. Spectroscopy with the 21 cm emission line.Review of time-dependent perturbation theory. Interaction of electromagnetic radiation with a two-level atom. Rabi flopping. The dipole approximation, electric dipole, magnetic dipole and electric quadrupole transitions. Selection rules. Transition probabilities and intensity of spectral lines.

Line broadening mechanisms. Spontaneous and stimulated emissions and Einstein coefficients, masers and lasers.Lamb shift. Quantization of the electromagnetic field. The Raman effect. Introduction to NMR and ESR. Review of Pauli's exclusion principle. The spin-statisticstheorem. The Helium spectrum. Many electron systems: Electron configurations and spectroscopic notation, equivalent and non-equivalent electrons and Hund's rules.

Hartree Fock SCF method, proof of Koopmans theorem, Slater's approximation to exchange. Total Hamiltonian of a molecule. Born -Oppenheimer approximation.Rotational and Vibrational Spectra of molecules. Anharmonicity, Franck-Condon principle, Electronic. Infrared and Raman Spectra analysis. Symmetry of atomic and molecular systems. Group theoretical treatment, proof of the Great Orthogonality Theorem.

Optional Advanced Topics:
Saturation absorption spectroscopy. Atomic clocks. Laser-cooling and Bose-Einstein Condensation. Synchrotron radiation spectroscopy. Photofragmentation of molecules.

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