PHY 212: Lecture Highlights.
14 Jan 2010:

Motivation for perturbation theory: corrections to gross H atom
 Example of relativistic energymomentum relationship expanded
for low velocities
 Perturbation theory is valid if size of correction is "small" compared
to unperturbed energies
 Be able to derive expressions for perturbative corrections to
energy eigenvalues and their associated eigenvectors.
19 Jan 2010:
 Example of anharmonic oscillator
 Hint: review raising and lowering operators for SHO
21 Jan 2010:
 Variational method: general variational parameters
 Be able to prove the minimization limit
 Example: trial function for SHO
26 Jan 2010:
 Linear variational method
 Truncation of basis state space
 Relationship to perturbation theory
 Application to degenerate subspace
28 Jan 2010:
 The Stark Effect  ground state (quadratic)
 The Stark Effect  first excited state; deg. pert. thy.
 Motivation for selection rules
 Angular momentum spectrum from commutation relations
2 Feb 2010:
 Addition of angular momentum
 ClebshGordan coefficients
 Example in H atom.
4 Feb 2010:
 Rotations
 Finding minimum and maximum total j values
 (l=1) x (s=1/2) = (j=3/2) + (j=1/2) example
9 Feb 2010:
11 Feb 2010:
 Review for Exam 1
 WignerEckart, continued
 Classical analogue: projection theorem
16 Feb 2010:
 Fine structure for H atom: applying WE
18 Feb 2010:
23 Feb 2010:
 EM transitions between H atom energy levels
 Spinorbit term
 Darwin term
 Collecting the fine structure corrections
25 Feb 2010:
 Exam 1 discussion
 Including a B field: Zeeman effect vs spinorbit term
2 Mar 2010:
 Weak/strong magnetic field limit vs fine structure
 Hyperfine structure and external magnetic fields
4 Mar 2010:
 Timedependent perturbation theory
 Example of timedependent electric field induced 2s > 2p transition
16 Mar 2010:
18 Mar 2010:
 Calculation of lifetime again spontaneous decay
 Degeneracies and line strength
 Magnetic dipole and electric quadrupole terms
23 Mar 2010:
 Fermi's Golden Rule
 Identical particles; symmetrization operators
 Single particle orbitals
25 Mar 2010:
 Review for Exam II
 Perturbation theory for identical particle systems
30 Mar 2010:
1 Apr 2010:
 He atom
 Direct and exchange integrals
 Slater determinants
6 Apr 2010:
 Residual and spinorbit effects
 Allowed spectrascopic terms and sublevels
8 Apr 2010:
 LS coupling energy shifts
 Selection rules; matching spectra to available transitions
13 Apr 2010:
 Scattering. Definition of differential cross section
 Born approximation. Yukawa example
15 Apr 2010:
 Partial wave expansion.
 Hard sphere example
20 Apr 2010:
22 Apr 2010:
 Bound state example
 Introduction to path integrals
 Central field approximation
27 Apr 2010:
 Go over exam II
 Review for final
 Evaluations