Recent content by Philcorp

Smells like Bessel functions. Go to the library and look for a fat russian book, called "table of integrals series and products". It will never let you down.

Consider the function f(x) = xcos(x)-sin(x). If you know calculus it should be fairly easy to show where this function is negative!

Cool, thanks for the help! Also, I think you mean it converges to 0? The replies have made me wonder about changing the limits on the integral to be from a to b, since it seems that the 0 to 1 case converges quite nicely, I should have thought to do a taylor series :blushing:, oops, and I am...

\lim_{n\rightarrow\infty}\int_0^1 e^{t^n}dt. I am not really sure where to start to evaluate this limit, but I probably have enough tricks up my sleeve to solve it if someone knowledgeable is able to point me in the right direction. My usual integral tricks seem to fail here. Cheers.

Have you taken a course in statistical mechanics before? Id say that the equipartition theorem probably holds the answer to your question.

So to study a relativistic system what can be done? Is the best I can do to start with a relativistic lagrangian and derive the propagator via the feymann path integral method using this relativistic lagrangian? Seems like the best idea I can think of? Phil :!)

This was also my understanding of the matter, however the Dirac equation is only for spin-1/2 paticles, correct? Is there a more general equation which is Lorentz invariant? Phil

All of these replies seem to indicate to me that relativistic systems are evolved in the usual way (ie, shrodinger, hiesenberg or whatever picture). This has allowed me to rephrase my question: Does it not matter that the schrodinger equation is not relativistically invariant? Phil :!)

I assure you that I understand what is going on with respect to non-relativistic quantum mechanics, and am also familiar with non-relatvistic quantum field theory. However, I do not know where to begin for a relativistic setting. The dirac/klein gordon equations govern the evolution of systems...

In non-relativistic quantum mechanics time evolution is given by the usual e^{\frac{-i\hat{H}t}{\hbar}} (for non time dependent hamiltonians). How does one time evolve a quantum system in the context of relativity, where time and space have been placed on equal footing? We clearly cannot use...

Thanks mike. I am going to head over to the library today and pick up a couple of those books. Your reference will hopefully be appreciated. Thx again Phil

Trying to do some reading on squeezed electric field modes in accelerated frames, and it's a bit much. Anyone have any suggestions as to some literature to familiarize myself with before i go any further? Thanks Phil

I'm really not sure i can answer any of your questions. However, i suspect that if you go to the universitiy web site, http://www.utoronto.ca, you should be able to find the infomation you are looking for. Either that or you wshould be able to find at least the e-mail adresses of a couple...

Hrmmm, I am not sure what to think about the reply to this topic. When I read the question, it seems to me that the answer looks like (sort of, I don't have them memorized) something to do with the squares of spherical harmonics. This makes some sense to me since you can write the solution to...

I'll have to agree that it is maybe foolish to derive the Schrodinger eqn. form the continuity eqn. It is certainly not the way to go about things. You can however derive the continuity equation from the schrodnger equation. You can write the wavefunction as an amplitude times a complex...