Recent content by alivedude

It was actually much easier than I thought. After some checking the decays schemes I noticed that it was only one photon per isotope and it was emitted in nano seconds, so I could only count the photons basically. I just overcomplicated it all :) Thanks anyway for the help!

Yeah we have such a detector in the lab and I found decay schemes so I know their transitions energies. But I still don't understand how you can relate these energies to the half-lifes?

Hmm okay, thanks! I think I need to ask my assistant about this because it sounds a bit beyond our scope in this course. Because I know there is several gamma transitions in my isotopes and I'm studying two isotopes at the same time, how should I know which photons that comes from what...

I'm working on a lab and the task is to determine the half life of an element studying the beta radiation or the gamma radiation (emitted from the daughter). I have all the data and I'm done with the beta part, that was pretty straight forward. I have no clue how to relate the gamma radiation to...

Thanks for taking the time and explain all this! It answers my questions very well. :)

Because it follows from the definition of a power series, i'll show you a general case with a power series expanded around some point ##x=c## and its derivate ## f(x)= \sum_{n=0}^{\infty} a_n(x-c)^n ## let us now take the derivate of this, its a sum so the derivate of the whole thing is just...

Well, ##f(x)## is defined by the power series, which is expanded around ##x=2##. So taking the derivative of the power series would be to take the derivate of ##f(x)## and its derivative would indeed be a new power series that is indeed expanded around ##x=2## and have the same radius of...

That is what I would do.

I'm working on some classical mechanics and just got a question stated: Is the Hamiltonian for this system conserved? Is it the total energy? In my problem it was indeed the total energy and it was conserved but it got me thinking, isn't the Hamiltonian always the total energy of a system...

They want you do write out the derivative ##f'(x)## in the same way as the series you got in the problem, the first four terms and then the general term. After that you should plug in x=2.

Do you notice something wrong here? :)

Well, we aren't allowed to solve problems for other members so I suggest that you write out your whole solution and what your professor said about it, I can't imagine a better way to do it :)

Let us first see your answer and his respond. :smile:

Yepp! I calculated the residues for a) and also got zero and for b) we indeed have that all poles are lying outside the contour. So it should be right, shouldn't it?

Since you are given one solution you should use the method of reduction of order to find the other one, and it should be in the chapter where you found the question (did it myself a few months ago).