Consider a classical model of the Helium atom as shown below. Two electrons, each with
charge -e, orbit together on opposite sides of a nucleus of charge +2e. The radius of the
orbit is ao and the electrons orbit with speed U, giving an angular velocity Wo = v/ao.
a) Show that there is no electric dipole radiation in this model.
b) Show that there is no magnetic dipole radiation in this model.
c) Compute the electric quadrapole tensor. What is its frequency of oscillation?
d) If Qw is the amplitude of the electric quadapole tensor oscillation (i.e. Q(t) = Re (Que-iwt),
then the amplitude of the vector potential oscillation for electric quadapole radiation,
radiation zone approximation, is given by
What are the amplitudes of the electric field Ew(r) and magnetic field Bw(r) oscillations
e) Using your results from parts (c) and (d), what is the angular distribution of the
power dP/dS2 in this electric quadapole approximation?
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