let be the integral(adsbygoogle = window.adsbygoogle || []).push({});

[tex] \int_{R^{3}}d^{3}r F( \vec r . \vec r , \vec r . \vec a , |r| ,|a|) [/tex] (1)

F depends only on the scalar product of vector r=(x,y,z) and its modulus |r| , hence it is invariant under rotation and traslations (since scalar product is invariant under rotation and traslation) my question is if using polar spherical coordinates we can put the integral (1)

as [tex] \int d\Omega \int_{0}^{\infty}k^{2}F(k)dk [/tex] being k=|r| (modulus of r)

i believe answer is affirmative

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Triple integral

**Physics Forums | Science Articles, Homework Help, Discussion**