Recent content by mad mathematician

Circulant matrices also appear in the subject of Communication Systems. It's cool seeing all these connections between theoretical physics and Engineering.

Thanks that cleared my perplexion.

There should be a difference between ##r## and ##r^*##, they aren't the same.

good catch, I'll change it. you are right.

OK, here are my calculations. Let me know where did I get it wrong. So we have the following: ##d\bar{u}=e^{-u/4M}du## and ##d\bar{v}=e^{v/4M}dv##. Now, we should multiply ##d\bar{u}d\bar{v}=e^{(v-u)/4M}dudv##. Now, ##du=dt-dr^* , dv=dt+dr^*##, so multiply and get...

I am reading the book by Birrell and Davies on QFT on curved spacetime. On page 40 they write the following metric: and on the following page they provide the Kruskal Coordiantes and the changed metric: Now, I get something a little bit different than theirs. According to my computations, if...

Stokes parameters? Just trying my luck. (I was quite astonished to find there's a transformation between Airy's and Bessel's odes).

I once tried to participate in a math students' olympiad but failed misreably. A few years ago I heard of Engineering students' type of olympiad but didn't participate in it. I guess it's geared to students below MSc level, anyways from the eligibility I wouldn't say no...

The same old natural philosophy problem of absolute space and time. Can't we regard SR and GR's spacetime as that "background"? Anyway you can't do any calculations without assuming a specific form for the metric.

I reckon you didn't read Peskin and Schroeder nor Srednicki's QFT books, now did you? Monstrous books.... :olduhh:

Simple, not simpler... :oldbiggrin: If it's simple, then it must be simpler than something else, doesn't it?! :-D

Same here, I mean in my undergraduate years. Someone back then recommended Kleppner's and Kolenkow's textbook. Tough exercises, I am not sure if I tried them all; but then I didn't really search for solutions in the net, and PF was a gem.

Well when its biggest advocates wins the Fields medal (a prize in maths), and had to encourage someone to invent a prize (almost specially tailored for him and his advocates); you understand what's the problem here.

I wonder how difficult it would be to to write down a model where it changes with time.

Complex Gauge theory, sounds someithing that resonates with the book by Yurin Manin.