Show that the quadrupole term in the multipole expansion can be written as 3 1 1 4neo ris Vquad (r) %3D where )dr'. Note that Qy is a rank-two tensor, so it is possible to express it as a matrix. Also show that Qiy is traceless.
Show that the quadrupole term in the multipole expansion can be written as 3 1 1 4neo ris Vquad (r) %3D where )dr'. Note that Qy is a rank-two tensor, so it is possible to express it as a matrix. Also show that Qiy is traceless.
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Transcribed Image Text:Show that the quadrupole term in the multipole expansion can be written as
1 1
Vquad (r):
4neo r3
ij=1
where
Note that Qiy is a rank-two tensor, so it is possible to express it as a matrix. Also show that Qij is traceless.
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