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Multipole expansion

  1. Jul 10, 2008 #1
    In multipole, the electric quadrupople interaction with incident electric field:

    V(2)=-[[tex]\stackrel{\leftrightarrow}{Q}[/tex][tex]\nabla[/tex]][tex]\cdot[/tex]Einc(0)

    [tex]\stackrel{\leftrightarrow}{Q}[/tex] is a tensor of rank two.
    [tex]\stackrel{\leftrightarrow}{Q}[/tex]=[tex]\frac{1}{2}[/tex][tex]\sum[/tex]qnrnrn

    However, [tex]\nabla[/tex][tex]\cdot[/tex]E=0.

    So, what is the detail expression of this tensor and how to operate it if I denote in Cartesian coordinate.

    Thank you!
     
  2. jcsd
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