#### Spinnor

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Suppose we look for solutions to the Klein–Gordon equation with the following time dependent boundary conditions,

psi(r,theta,phi,t) = 0 zero at infinity

psi(on surface of small ball, B_1,t) = C*exp[i*omega*t]

psi(on surface of small ball, B_2,t) = C*exp[-i*omega*t]

where the small balls B_1 and B_2 have radius delta, do not overlap, and are a large distance D apart. C is a complex number and omega is some angular frequency. Assume omega > m the mass in the Klein–Gordon equation.

Will the field energy decrease as D gets smaller? Is this hard to show?

Thank you for any help!