Prove this theorem! Anyone?



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Topic: Science > Physics
User: "=?iso-8859-1?B?Sm9oYW4gU2r2c3Ry9m0=?="
Date: 17 Aug 2006 04:27:19 AM
Object: Prove this theorem! Anyone?
Please help! I'm trying to prove a theorem that is referred to
everywhere in my literature, but I can't find a single source that
actually proves it! Here it goes:
THEOREM:
For an arbitrary charge distribution rho(x) the values of the 2l+1
moments of the first nonvanishing multipole are independent of the
origin of the coordinate axes but the values of all higher multipole
moments do in general depend on the choice of origin.
Thanks
Johan
.

User: "Helmut Wabnig"

Title: Re: Prove this theorem! Anyone? 17 Aug 2006 06:51:12 AM
On 17 Aug 2006 02:27:19 -0700, "Johan Sjöström"
<daddynahoj@hotmail.com> wrote:

Please help! I'm trying to prove a theorem that is referred to
everywhere in my literature, but I can't find a single source that
actually proves it! Here it goes:

THEOREM:

For an arbitrary charge distribution rho(x) the values of the 2l+1
moments of the first nonvanishing multipole are independent of the
origin of the coordinate axes but the values of all higher multipole
moments do in general depend on the choice of origin.

Hmm...
http://www.astro.uwo.ca/~houde/courses/phy502b/
w.
.
User: "=?iso-8859-1?B?Sm9oYW4gU2r2c3Ry9m0=?="

Title: Re: Prove this theorem! Anyone? 17 Aug 2006 07:59:01 AM
Exactly what I needed! Thanks!!
Cheers
Helmut Wabnig wrote:

On 17 Aug 2006 02:27:19 -0700, "Johan Sj=F6str=F6m"
<daddynahoj@hotmail.com> wrote:

Please help! I'm trying to prove a theorem that is referred to
everywhere in my literature, but I can't find a single source that
actually proves it! Here it goes:

THEOREM:

For an arbitrary charge distribution rho(x) the values of the 2l+1
moments of the first nonvanishing multipole are independent of the
origin of the coordinate axes but the values of all higher multipole
moments do in general depend on the choice of origin.

=20
Hmm...
http://www.astro.uwo.ca/~houde/courses/phy502b/
=20
=20
w.

.



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