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AMO Lecture Notes - AMO-1 Table of Contents Fall 2004 C D...

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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
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