Recent content by neo86

My favourite book is Einstein's General Theory of Relativity: With Modern Applications in Cosmology by gron and hervik. (especially if you like tetrads)

What is your background? With a reasonable level of quantum field theory Effective Lagrangians For The Standard Model by Dobado et al or Dynamics of the standard model by Donoghue et al should be a good place to look

There is feynmf which you can download on CTAN: http://www.ctan.org/tex-archive/macros/latex/contrib/feynmf/" Here you can see a few neat examples: http://cnlart.web.cern.ch/cnlart/220/img37.ps" http://cnlart.web.cern.ch/cnlart/222/img11.gif"

You could start with QED: The Strange Theory of Light and Matter by Feynman

If you feel up to it I would seriously consider the one about Hopf Algebras, what exactly would be the topic? They show up quite naturally in the context of quantum field theories. (but only if you are doing QFT on a somewhat abstract level)

Hi, You might want to take a look at the following book: https://www.amazon.com/dp/0817642226/?tag=pfamazon01-20 It basically discusses electromagnetism from an axiomatic point in terms of differential geometry. Especially if you are a mathematician this will probably be very interesting...

I think you somewhat misunderstood why the need for renormalization occurs, there's no physical reality behind this rather strange looking process (but the effects you get via renormalization group, e.g. running couplings are of course real), the basic problems lies in the fact that in the...

If you want to find out if a vector field is perpendicular you have to check that the scalar product of the tangent vector of the curve and the Vector Field vanishes at every point of the curve. Since you have given the curve only implicitly you would probably need implicit function theorem...

How did you deduce, that the Bn are zero? The orthogonality relation between sin and cos only holds if you integrate from 0 to 2pi, but in this case you integrate only from 0 to pi/2.

How exactly did you make this integration: Integral( ((ln x)^2) 2/x dx) you should get out \frac{2ln(x)^3}{3} Why did you actually put this factor 2 in the integral and divide by 2 again, I don't get why this makes sense.

@jeffrey: You should be a bit careful with changing variables in the complex plane( you essentially suggest making a variable substitution of something like x\rightarrow \sqrt{i}(x-k) . For doing this you actually use Complex Analysis (especially Cauchy's theorem),you change the path you are...

The arrow means that its a vector.

Ok, I'll try to give a few hints: You know that the boron was at rest, before the decay, that means by conservation of momentum: \vec{p_C}=-\vec{p_e} this means especially, that the momenta of carbon and electron have the same absolute value. Since the energy is conserved (and we know the Boron...

you are on the right track... the only term which gives you something nonzero at the 100th derivative it n=50 so you need to evaluate the 100th derivative of x^100/50!, but this is simply 100!/50!, if you want to get the exact number you would need to plug that into some CAS. You could also...

What you need is: conservation of momentum, conversation of energy (both together correspond to conservation of 4 Momentum) then you need the relativistic Dispersion law: E^2-\vec{p}^2=m^2 and the definition of kinetic energy: E_{kin}=E-m If you use all that and convert your units the right...