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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![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04009b9c-c514-4798-926d-7f8b36e48162%2F9657a95b-0b1f-4065-be27-df3e3c6964cb%2F8yza51r_processed.jpeg&w=3840&q=75)
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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