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Unformatted text preview: 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 Chapter 1. The preliminary 1.1. Atomic units 1 = = = e m h (a.u) (The units in the electrons world.) Length= a = Bohr radius=0.528 x10-8 cm Velocity= v =electron velocity in 1 st Bohr orbit = c =2.18x10 8 cm/s Energy= twice of ionization potential of H=27.21 eV (called Hartree by chemists) Time= a /v 0 = 2.42x10-17 sec= 24.2 as (1fs= 41 a.u) units of frequency=v /a = 4.13x10 16 sec-1 Electric field=e/a 2 = 5.14x10 9 V/cm Other units : One atomic unit of magnetic field is defined for a Bohr magneton in a B field which has the energy of 13.6 eV. Or eV B B 6 . 13 = where Tesla eV x mc e B / 10 788 . 5 2 / 5 = = h Thus 1 a.u. of magnetic field = 2.35x10 5 Tesla Laser intensity= 2 2 1 cE = 3.51x10 16 W/cm 2 for peak E field at 1 a.u....
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- Spring '09