Physics 602, Problem 5
Problem 5: Super-radiant states
Consider two identical atoms separated by a distance Rexcited at a time t= 0, Their
wave function is approximately
ψi=1
√2[u0(r1)u1(r2) + u1(r1)u0(r2)] (1)
where r1is the internal coordinate of the first atom and r2is the internal coordinate of the
second atom.
Take ψf=u0(r1)u0(r2) and compute
< ψf|πi·piexp[ik·ri+ik·Ri|i > (2)
supposing that k·ri= 0, but k·Ri6= 0. Find the radiation pattern for the emitted light
and show that it has a double-slit interference pattern.
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