Recent content by Juli

I got it from the wikipedia article about fine structure https://en.wikipedia.org/wiki/Fine_structure

A specific example would be the hydrogen atom. I have linked a photo of what I mean. Why are the corrected energys always lower? The relativistic parts are obviously taking up some energy and my question is where it goes. I don't think it's spin-orbin couling, since it just splits the levels...

Why do the enery levels calculated with the Dirac/Pauli euqations always lie lower than the results calculated with the Schrödinger equation? I assume it has to do something with relativistic effects and the changing masses because of this.

I did the first task and got this ##H = \lambda (\frac{\vec{S^2-(\vec{S_1}^2+\vec{S_2}^2)}{2})## But I don't know how to get the eigenvalues of the operator on the right-hand side. Are they the eigenvalues of the individual spins?

Hello, I try to solve this problem, and I think a) wasn't too hard, I have the following solution: ##H = \lambda (\frac{\vec{S^2-(\vec{S_1}^2+\vec{S_2}^2)}{2})##. I struggle with 2. I find it very abstract. When I have H as a matrix I know how to calculate eigenvalues, but I don't know how...

Hello, I need to solve the commutator relations above. I found the equation above for the last one, but I am not sure, if something similar applys to the first one. I am a little bit confused, because I know there has to be a trick and you don't solve it like other commutator. Thanks for your help!

Hello, thank you for your answer. I was just about to delete this post, since I got the right solution by using my method. I was wondering anyway, that if the Coulomb force was set equal to the centrifugal force and the gravitational force was set equal to the centrifugal force, that the Coulomb...

Hello everyone, I have the problem above. I chose to put ##F_G = F_Z## to solve it and end up with a radius ##r = 1.04\cdot 10^{-7}##m. Solutions on the internet choose to put the gravitational force equal to the centrifugal force and obviously end up with a completely different solution. I...

Thank you :) Also for making it clear with th HUP!

The question is stating that we just take a look at one electron. So the target is the electron. There isn't more information in the question than I gave you. So I thought that in the end it would lead to the Compton- effect: A photon that hits an electron.

So the first part is not my conclusion but the problem statement. The second part is my conclusion. The homework question is "What do these results (from 1. and 2.) say about the possibility of being able to “observe” an electron’s presumed orbit at two or more points?" And that was my suggestion.

Hello everyone, I solved the problem above in the following way: 1. ##E_{Ph} = 124##keV 2. ##E_e = E_{Ph} - E_{Ph'}## ##E_{Ph}## is the energy of the incoming photon, ##E_{Ph'}## is the energy of the photon, after the scattering with the electron (I am using the formulas assuming there is...

Yes you can do that. Thank you. I initially wanted to make it less confusing, but as it seems it is sensful to put it back together.

Hey, thank you for your reply. I think I found out that the book made a mistake and my solution is right. If you have further interest in discussing the solution, let me know. Otherwise, thanks a lot again, I'm good now :)

Hello everyone, I was too confidet, I thought i figured it out. But again, my solution massively differs from the books solution and I checked everything so many times and can't figure out where my mistake is. I tried to write down what I did understandably. I'm greatful for anyone who take...