Why Is the Electric Quadrupole Moment Zero in a Spherically Symmetric Potential?

[GAGS]

While studying nuclear forces one question was raised that why electric quadrupole moment is zero while the potential is considerd central and spherically symmetric.
Thanks

 

[malawi_glenn]

It follows from the very defenition of Electric Quadrupole moment,

http://hyperphysics.phy-astr.gsu.edu/hbase/nuclear/elequad.html

It is very easy to understand classically.

I don't know if latex is working, but if you PM me your email I can give you a good source for Quadrupole moments in QM.

 

[GAGS]

Hello sir,my email id i have added in my profile and believe me i am very glad to provide my mail id to such a great personality with different recognition on physics forum

 

[malawi_glenn]

We have as rule here not to provide personal mails on the public forum or our profiles.

 

[GAGS]

Sorry sir i don't know that,but i will not repeat such mistake in future.
Once again extremely sorry

 

[malawi_glenn]

its just for your own saftey, these forums can bee seen by anyone - you don't need to be member to read posts here.

 

[Meir Achuz]

While studying nuclear forces one question was raised that why electric quadrupole moment is zero while the potential is considerd central and spherically symmetric.
Thanks

If the potential is central, it must be spherically symmetric.
The wave function (but not the ground state) can have orbital angular momentum L=2, in which case there can be a quadrupole moment.