Hi guys (originally posted in the nuclear forum but since found this one),
I've been struggling with this problem for a while now and can't seem to get anywhere with it. Roughly speaking:
We are given that an Ar37 atom decays through electron K capture into a Cl37 atom and a neutrino, plus...
Hi guys,
I've been struggling with this problem for a while now and can't seem to get anywhere with it. Roughly speaking:
We are given that an Ar37 atom decays through electron K capture into a Cl37 atom and a neutrino, plus a gamma ray of wavelength 4.2 Angstroms. The binding energy of...
Yeah, we have done it, but a very long time ago and used lots of substitutions and stuff. What gets me is that surely can't be right, because the question is only worth 5 marks. Infact, i didnt even type out the full question..the rest of it is:
"Comment on how your solution relates to de...
Thanks sporkstorms :) In that case i think the question is worded very badly...as it doesn't mention what wavefunction to use!
The only wavefunction that is mentioned in the entire assessment is in question 1 which is for the harmonic oscillator:
u_{0}(x) =...
Hmm...at a guess it means something like this:
i\hbar\frac{d\psi(x,t)}{dt} = E\psi(x,t)
But that seems too obvious? And how do i solve that without knowing what the wavefunction is?
Hi guys, I've been given this question as part of my homework assessment however i don't even know what its asking me to solve :( I am sure you have to apply it to a certain equation but it doesn't say what! The question is:
"Write down the eigenvalue equation for the total energy operator...
:bugeye:
I cannot believe i didnt see that. Whoops! Simple things like that...pretty easy to overlook i guess. Thanks for the help..gonna try it out now! :)
hmm..no I am totally lost...sorry :cry:
I don't see how you can differentiate the function when you say i don't need to know what it is. I can make a wild guess that dy/dx = 2m/hbar^2..but that would just be guessing and not actually understanding.
Could you give me a further hint? To be...
hmm, the only relationships i have in my notes are:
u(x) = Ce^{-\gamma x}
So \frac{d^2}{dx^2}u(x) = \gamma^2 u(x)
Where \gamma^2 = \frac{2m}{\hbar^2}(V_0 - E)
edit - just saw your hint..will inspect further!
edit again - would i be correct to assume that u(y) = Ce^{-\gamma y...
Hi guys, hoping someone can help with this manipulation. I need to transform this:
\frac{-\hbar^2}{2m}\frac{d^2}{dx^2}u(x) + \frac{1}{2}m\omega^2 x^2 u(x) = Eu(x)
Into its dimensionless form:
\frac{d^2}{dy^2}u(y) + (2\epsilon - y^2)u(y) = 0
I have the following info:
E =...
Hi,
Yeah i was having trouble with it. I think I've solved it now. I went an incredibly long way around it by calling everything else inside the bracket which wasnt the variable to be differentiated, a constant, such as C. That made me see what was going on a bit better and i think it worked...
I really struggle with calculating errors :( I understand what i have to do, find the partial derivative of each variable and multiply it by the error, square it, add up all the others then square root the total. I just seem totally incapable of doing it :( The expression i have to find error on...
ok I've now got this:
E = m_{0}c^2 [\sqrt{1+(\frac{RqB}{m_{0}c\tan{\frac{\Theta}{2}}})^2} - 1]
I take it that can't be simplified any further. Ack this is going to be hard to work out errors with!
Thanks for your help!