One Electron Atoms
- Hydrogen and Hydrogenic atoms:
Accidental degeneracy in Hydrogen, the Runge-Lenz vector, H-atom eigen values using Lenz vector associated angular momentum operators.
- Transitions: Selection rules, parity, dipole approximation, lineshapes and linewidths.
- Removal of accidental degeneracy:
Relativistic corrections, Fine structure of Hydrogen.
- H-atom in external fields: Zeeman and Stark effect.
Multielectron Atoms
- Helium atom: Ground state, excited states - direct integral, exchange integral.
- Alkalis: Quantum defect, Central field approximation, Hartree Fock method, Slater determinants, Fine structure in Alkalis.
- Correlation effects: Russel-Saunders (LS) and jj coupling, Spectra of multi-electron atoms.
- Hyperfine structure: Hyperfine structure for s-electrons, Isotope shifts, Zeeman effect in hyperfine structure, measurement of hyperfine structure.
Interaction of atoms with radiation
- Perturbation by oscillating electric field, Rotating wave approximation, Einstein coefficients.
- Interaction with monochromatic radiation: $\pi$ and $\pi/2$ pulses, Bloch vector and Bloch sphere, optical Bloch equations.
- Optical absorption cross sections: Radiative broadening, saturation intensity, Power broadening.
- AC Stark effect.
- Doppler free laser spectroscopy: Doppler broadening, Saturated-absorption spectroscopy.
- Laser cooling and trapping of neutral atoms: Doppler cooling, Polarization gradient cooling, magnetic trapping, evaporative cooling, introduction to BEC.
Collision Physics
- Types of collisions, potential scattering, method of partial waves, Born approximation, Frank-Condon principle.
- Electron-Atom (Molecule) collisions : Structure and Scattering
- Photon-Atom collisions : Photoeffect, Compton Effect
- Ion-Atom collisions: Single-Electron capture, Target Ionization.
- Particle Kinematics : Fragmentation of Atoms and Molecules.
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