wasia
Oct18-11, 09:52 AM
Hello!
I want to calculate an integral of the form
\int d \vec k f(\vec k \cdot \vec x) g(k^2) \vec k,
where k and x are 3-dimensional vectors and integration spans the whole 3D volume. I wonder what is the
general approach to the problem? Were it not for the vector k term in the integral, one could just switch to
the spherical coordinates and perform integration over two variables (|k| and one of the angles, while the other
angle gives just a constant factor). But now it is not clear how to do that, since the result of the integration
is supposed to be a 3-vector itself.
Any suggestions or references are welcome.
I want to calculate an integral of the form
\int d \vec k f(\vec k \cdot \vec x) g(k^2) \vec k,
where k and x are 3-dimensional vectors and integration spans the whole 3D volume. I wonder what is the
general approach to the problem? Were it not for the vector k term in the integral, one could just switch to
the spherical coordinates and perform integration over two variables (|k| and one of the angles, while the other
angle gives just a constant factor). But now it is not clear how to do that, since the result of the integration
is supposed to be a 3-vector itself.
Any suggestions or references are welcome.