Recent content by Martin89

Thanks for the reply, I guess that makes some sense

Yeah I've been studying it this semester. I believe this particular diagram is for Nickel-64 which has a magic number of protons which explains why the spacing between the ground state and the first excited state is so large. The gaps in the higher levels are due to magic numbers also, but I...

Yes, but I'm asking about nuclear energy levels not atomic energy levels

Hi All. For the above energy level diagram, why do the energy levels spacings proceed to get smaller and smaller as the excitation energy increases?

Problem Statement: See below Relevant Equations: 2D density of states ##g\left(E \right)=\frac{m^{*}}{\pi\hbar^2}## Fermi energy in a quantum cascade laser ##E_{F}=E_{i}+k_{B}Tln\left[exp\left(\frac{\pi\hbar^2n^{2D}}{k_{B}Tm^{*}} \right)-1\right]## I've been stuck on this problem for a few...

This is the part I'm having difficulty with. I know that the force on the bar must depend on ##k## but I don'nt know how to express it. Working backwards from my professor's answer I believe that the torque on the rod is given by ##Torque=\alpha^2KL^2\sin\theta##. However, I don't understand...

##Mgsin\theta## is the force on the bar and the length of the bar is ##\alpha L##, although for a uniform bar the force should act through the centre of mass I believe?

Hi, I am unsure how to proceed with this problem. I believe that I can correctly calculate the frequency of the oscillations for a bar that is not suspended from a spring but I do not know how to take the effect of the spring into account. The answer given by my professor is $$...

Thanks for the help. I discovered that I had to express sinx in powers up to q3 to solve correctly.

Homework Statement Homework Equations N/A The Attempt at a Solution I am trying to complete the last part of this question, part 5(c). My professor has told me that the form factor $$F(q)\rightarrow1$$ as $$q\rightarrow0$$ but I am unsure how to show this. I believe that $$\lim_{{q...

Thanks, I realize my mistake now. The limits should be zero to infinity as negative time is not possible

Hi All! I've been looking at this Fourier Transform integral and I've realized that I'm not sure how to integrate the exponential term to infinity. I would expect the result to be infinity but that wouldn't give me a very useful function. So I've taken it to be zero but I have no idea if you can...

Ok so I've done the calculation and K1 does indeed equal K3. Thanks guys!

That is the condition for K1. The expression for K3 should be identical right?

I've done as you said but I'm not sure what it shows me. K1 and K2 are different due to the potential in region 2. Looking at the problem physically, the Schrödinger equation must be identical in regions 1 and 3, and therefore K1=K3. Is this a correct assumption?