AMO-1: Table of Contents
Fall 2004, C. D. Lin
Textbook used: (BJ) B. H. Bransden and C. J. Joachain, " Physics of Atoms and Molecules", 2nd
edition, 2003.
1. The Preliminary--
(1) atomic units, common energy converters, frequencies, wavelengths
(2) Brief summary of BJ-1
(3)
A few remarks on BJ-2
(4) Time-dependent Perturbation Theory--section 2.8 of BJ
2. The Hydrogen atom
(1) spinless and Coulomb force only. quantum numbers; excited states; scaling with respect to mass and
charge; radial wavefunctions; parabolic coordinates; Runge-Lenz vector; Stark states; circular states;
elliptical states; momentum space wavefunctions.
(2) Dirac Theory--based on Appendix 7 of BJ. Pauli approximation; Lamb shift.
(3) Hyperfine structure. Magnetic dipole; electric quadrupole; 21cm line of hydrogen.
3. The alkali atoms. Quantum defect; fine and hyperfine structure
.
4. The helium atom
(1) Schrodinger Theory. symmetry; shell model and level scheme; wavefunctions and energies; Hartree-
Fock; configuration interaction.
(2) Spin-orbit and coupling schemes; Breit interactions; fine structure; modern precision experiments.
(3) Autoionization. quick review of continuum states;
phase shift and scattering length; shape resonance
(4) Feshbach resonance theory; Fano parameters
(5) Doubly excited states of He--experiments
(6) Doubly excited states of He--theory. Classification, computational methods, visualization of
correlation.
5. Many-electron atoms
(1)
central field approximation; Hartree-Fock;
shell model and configurations
(2) spin-orbit interactions; Hund's rule; LS vs JJ couplings; Density function theory
6. Atoms in external electric and magnetic fields--the perturbation regime
(1) Hydrogen atoms in static electric and magnetic fields
(2) Radiative transitions of atomic hydrogen. Basic formulation; electric dipole transitions; Einstein
coefficients; Oscillator strengths and atomic lifetimes; multipole transitions; theory of
photoionization
Appendices
web information; angular momentum algebra

This
** preview**
has intentionally

**sections.**

*blurred***to view the full version.**

*Sign up*