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The first term is a function only of θ, and the second is a function only of φ, so each must be a constant. As always, we solve it by separation of variables: You might recognize this equation-it occurs in the solution to Laplace’s equation in classicalĮlectrodynamics. Cunningham Mary Ann Cunningham)Įquation 4 determines the dependence of on θ and φ multiplying by, it becomes:

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