Recent content by pcalhoun

Hey guys, I've been working on a quantum related problem in my math physics class and I've run into a snag. When dealing with Legendre Polynomials ( specifically : P_{lm} (x) ), I can find the general expression that can be used to derive the polynomial for any sets of l and m (wolfram math...

Hey everybody, One question that I've had for a week or so now is how the following integral can equal a Dirac delta function: \frac{1}{2\pi} \int_{-\infty}^{\infty}{dt} \:e^{i(\omega - \omega^{'})t}\: = \: \delta(\omega - \omega^{'}) A text that I was reading discusses Fourier transforms...

With a little luck, I found an equivalent expression (assuming no mistakes) dealing with dyadic/outer products of Del and the two vectors: (\overline{ \nabla } \overline{ A } ) \cdot \overline{B} + (\overline{ \nabla } \overline{ B } ) \cdot \overline{ A } Anyways, thanks for the help D...

Hello, I was messing around with subscript summation notation problems, and I ended up trying to determine a vector identity for the following expresion: \overline{\nabla}(\overline{A}\cdot\overline{B}) Here are my steps for as far as I got: \hat{e}_{i}\frac{\partial}{\partial...