- A hydrogen atom is in the ,
state.
To which states is it allowed to decay via electric dipole transitions?
What will be the polarization for a photon emitted along the -axis
if decreases by one unit in the decay?
- Derive the selection rules for radiative transitions
between hydrogen atom states in the electric dipole approximation.
These are rules for the change in , and .
- State the selection rules for radiative transitions
between hydrogen atom states in the electric dipole approximation.
These are rules for the allowed changes in , , and parity.
They can be easily derived from the matrix element given on the front of
the test.
Draw an energy level diagram (up to )
for hydrogen atoms in a weak field.
Show the allowed E1 transitions from to on that diagram.
- Calculate the differential cross section,
, for high energy scattering of particles of
momentum p, from a spherical shell delta function

Assume that the potential is weak so that perturbation theory can be used. Be sure to write your answer in terms of the scattering angles. - Assume that a heavy nucleus attracts mesons with a weak Yakawa potential . Calculate the differential cross section, , for scattering high energy mesons (mass ) from that nucleus. Give your answer in terms of the scattering angle .

Jim Branson 2013-04-22