Recent content by mahnamahna

Your last line can be rewritten as \int\frac{d^{3}p}{\left(2\pi\right)^{3}}[\frac{\partial^{2}}{\partial t^{2}}\phi\left(\overline{p},t\right) + \overline{p}^{2} \phi\left(\overline{p},t\right) + m^{2}\phi\left(\overline{p},t\right)]e^{ i \overline{p} .\overline{x}} = 0 Each term of e^{ip.x}...

I know, I was just asking if there is a computationally efficient way to calculate the rotation. I have the points all in spherical coordinates whether there was a better way to rotate them than transform to cartesian and then back to spherical.

Thanks a lot for your clear explanations! So with just shifting the angles out, I don't suppose you know of a efficient way to rotate vectors in spherical coordinates?

Hi, thanks for the response. If we don't require a unique representation of each point in spherical coordinates than we can allow θ to have any value we want so the map will be defined there. Also can you give an example of T not preserving distance? I am having trouble coming up with one. ra...

I have a few questions about rotations. First off if i have two vectors r_{a,b}=(1,\theta_{a,b},\phi_{a,b}) And i define \Delta\theta=\theta_b-\theta_a and \Delta\phi=\phi_b-\phi_a. Then take the map T(1,\theta,\phi)=(1,\theta+\Delta\theta,\phi+\Delta\phi). Is T a rotation? I would...