Consider a classical model of the Helium atom as shown below. Two e...

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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. V -e +2e -e V 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, in the radiation zone approximation, is given by = e k² ikr . 6r What are the amplitudes of the electric field Ew(r) and magnetic field Bw(r) oscillations in this approximation? e) Using your results from parts (c) and (d), what is the angular distribution of the radiated power dP/dS2 in this electric quadapole approximation?

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