Recent content by PeteyCoco

I've recently found that my back aches when I sit down to work on an assignment or do some readings. Maintaining good posture while working at the computer is something that I can improve by just being mindful of how I sit, but I find it very difficult to sit up straight while writing since it...

I've made another attempt at the problem, but I get the exact same result. Here it is: In Appendix B it is stated that From this relation one can also find the difference of the first derivative of the Hankel function across the cut: I wrote a script with these formulae: def...

The Function To Be Programmed \sigma_m=\frac{4(n_r^2 -1)J_m(n_r k R)}{\pi^2kD_m^+(kR)D_m^-(kR)} where D_m(z)=n_rJ'_m(n_rz)H_m(z)-J_m(n_rz)H'_m(z). The '+'/'-' superscripts indicate the limits as z approaches the branch cut, which lies along the negative imaginary half axis, from the positive...

I realized that I posted in the wrong forum, but can't delete the old thread. I reported it.

I've been told that the method scipy.optimize.Newton() will solve complex functions so long as the first derivative is provided. I can't make it work. The documentation for Newton() mentions nothing of complex functions. Could someone show me how one would find the roots of a function like f(z)...

An even simpler statement of my problem: How can I find the zeros of a complex function in PyLab? Most sources I've found haven't helped.

I have this characteristic equation for the wave number eigenvalues k_n of a homogeneous infinite cylinder of radius R: D_{m} = (k_n R) = 0, where D_m (z) = n_r J'_m(n_r z)H_m(z) - J_m(n_r z)H'_m(z) and n_r is the refractive index of the cylinder, the bessel and hankel functions are...

Okay, I've been looking through Jackson and it seems that it might have what I need. Any help is still appreciated because I'm sure I'll hit a roadblock in Jackson (I've only were read griffiths)Sent from my iPhone using Physics Forums

I've been reading this article for a prof this summer: http://arxiv.org/pdf/1302.0245v1.pdf I'm having some trouble following the math in Appendix B: Green's Function Of A Homogeneous Cylinder (page 9). Can someone explain to me why there is a factor of \frac{1}{\rho\rho'} in front of the Green...

There is an introduction to mathematical thinking course that covers construction of proofs, number systems, ordinality and cardinality, etc but it seems to be a course designed for students with no math background. The math majors do not take this course and jump straight into linear algebra...

The only one of those that I can prove is 4, and that's not off the top of my head (referencing book on my desk). I'm thinking that maybe I could self teach from an introduction to proof writing book this summer to better prepare myself for these courses. What book would teach me the material to...

I just got a math minor appended to my physics major. I'm registering for courses next week, but I'm having a bit of difficulty choosing math courses. None of them have prerequisites, but the prof I met with today did say that some would be very difficult without having developed mathematical...

Nevermind. Stupid question.

I'm reading about electromagnetic waves and I can't make sense of their self-sustaining nature. If a charge accelerates for a moment and then stops a disturbance in the electric field is sent out. This changing electric field creates a changing magnetic field and they continue to sustain each...

Much appreciated. It says div E = rho/epsilon, my mistake.