course descriptioN

PHYS 408 (3-0-3) Atomic Physics

Foundation of atomic theory : introduction, development of the new quantum theory. Mathematical basis of quantum mechanics: postulates, Hermitian operators, perturbation theory. Single electron without spin in a central potential: the case of the Coulomb field, atomic orbital contours, the forms of one-electron wave functions, the non-Coulomb central potential, lifting the degeneracy in p by core penetration. Radiative transitions (there are also non-radiative transitions): Einstein’s A and B coefficients, transition probabilities, the electric dipole approximation, selection rules and intensities of spectral lines, autoionization (a non-radiative transition). Angular momenta and enumeration of the energy levels of a configuration, spin-orbit interaction, angular momentum operators, the effect of the Pauli exclusion principle, Hund’s rule, the periodic system, spectroscopic notation, coupling schemes; L-S and J-J coupling, atom in an external field, normal Zeeman effect and anomalous Zeeman effect, Stark effect, energy shift and Lande’ g-factor. Interference and Coherence: introduction, interference of two waves, wavefront-splitting interferometers, amplitude-splitting interferometers, amplitude splitting by thin films, the Fabry-Perot interferometer, applications of interferometry, coherence. Diffraction: radiation from a coherent line source, Fraunhofer diffraction by one and two narrow slits, multiple narrow slits, the diffraction grating, Fresnel diffraction.

Prerequisite:PHYS 303