Recent content by stoopkid

I am having a lot of trouble understanding this concept. It seems to be the intersection of many theories: electrodynamics, special relativity, and quantum theory. Classical electrodynamics and quantum theory apparently have two different conceptions of what an EM wave is; in classical...

Ok, so I'm not really too good at group theory and that kind of math, so I hope I can explain my question: I tried to evaluate \frac{d}{dx}e^{x}: \frac{d}{dx}e^{x} = \frac{e^{x+h}-e^{x}}{h}, h -> 0 = \frac{e^{x}e^{h}-e^{x}}{h}, h-> 0 = e^{x}(\frac{e^{h}-1}{h}), h-> 0 So I figured...

Thank you guys very much for your answers! My motivation in all this is actually just to see what happens when you take the curl of the magnetic field, the long way, and I'm glad I did! I did the same for the electric field, and that was A LOT more straight-forward than this, but was very...

My question is essentially about Ampere's law. I went the long way about and evaluated the curl of the magnetic field, \vec{B}, of a point charge, q, located at position \vec{r_{0}}, and moving with velocity \vec{v}: \vec{B} =...

What I mean by a vector of vectors is that you have a vector whose components are vectors rather than scalars. For example: \vec{V} = \left[\stackrel{\stackrel{\LARGE\vec{a}}{\large\vec{b}}}{\vec{c}}\right] I defined the operation \odot to allow a vector to operate on a vector of vectors...

The context in which this question arises (for me), is I was trying to take the curl of the magnetic field of a moving point charge, however my question is purely mathematical. But I will explain the situation anyway. The point charge is located at \vec{r_{0}}, moving with velocity \vec{v}. The...