Recent content by niko_.97

  1. N

    I What is the relationship between the Hamiltonian and Lorentz invariance?

    Sorry for the late reply, I didn't see the notification in mt emails. Thanks for the very detailed answer though. Jackson's explanation is quite smilar to your first one, although he doesn't mention that you can always add a derivative which is useful to know.
  2. N

    I What is the relationship between the Hamiltonian and Lorentz invariance?

    Thank, you. I'll take a lok if I can find a version online. Do you know what is meant when Jackson says the stress energy tensor is not gauge invariant? For me, gauge invariance is when a change inthe potentials doesn't change the fields, but this is different from the fields. Is it to do with...
  3. N

    I What is the relationship between the Hamiltonian and Lorentz invariance?

    Ah right, thanks. But my question as to why we should expect the Hamiltonian to transform like the energy still stands?
  4. N

    I What is the relationship between the Hamiltonian and Lorentz invariance?

    Hi, I hope this is in the right section. It's for EM which I guess is a relativistic theory but the question itself is not to do with any Lorentz transformations or anything similar. I'm reading through Jackson with my course for EM and I'm on the section where he is generalising the Hamiltonian...
  5. N

    I Why do stars only produce up to iron and nickel

    Thanks for the reply. What do you mean by an r-process? So, I emailed my professor and I see where I may have made a mistake in my calculation. If you calculate the energy of the nuclei using E=mc^2 then there is more energy in the alpha and Nickel nucleus than in the Zinc. So, if what we...
  6. N

    I Why do stars only produce up to iron and nickel

    I know it's a common question but I've found no answers online so far. My professor has made a point out of saying that fusion reactions after iron and nickel do release energy but just not enough to keep the star from imploding. This didn't make sense to me. How would fission release energy if...
  7. N

    I Poynting Vector in a Wire: Understanding the Flow of Energy

    Thanks, but the link you posted is all in German.
  8. N

    I Can Quantum Entanglement Be Used to Transfer Information?

    We've just gone over the EPR paradox in class and I'm not really satisfied by the explanation of the professor and TA. Firstly, with the example of the two spins, I still don't see why measuring one spin and then knowing the other one doesn't count as information traveling faster than light...
  9. N

    I Poynting Vector in a Wire: Understanding the Flow of Energy

    OK, thank you for clearing this up for me! I think a lot of my confusion came from the fact that I couldn't imagine how the fields can carry the energy into the wire without them themselves moving.
  10. N

    I Poynting Vector in a Wire: Understanding the Flow of Energy

    Ahh yeh, sorry, I don't know what I was thinking. I forgot you could derive the surface charge from the continuity equation, and of course the surface charge produces a radially outward field. Thanks for the link to the paper, it explains it pretty well! One thing I didn't quite understand is...
  11. N

    I Poynting Vector in a Wire: Understanding the Flow of Energy

    So how are the fields carrying the energy in from the outside? Especially for the electric field since it is zero outside. I'm pretty sure there's meant to be no surface charge on the wire. The electric field is created by the potential difference. A surface charge on a cylinder would create a...
  12. N

    I Poynting Vector in a Wire: Understanding the Flow of Energy

    If we have a some wire (length L) with a PD of V from one end to the next and a current I moving along it we can work out the Poynting vector. It's pointing radially inwards and so tells you the energy per unit time per unit area flowing into the the surface of the wire. What I don't understand...
  13. N

    Electric field inside a uniformly polarised cylinder

    Ah OK, I'm still not 100% sure as to why the integral doesn't work, but I guess I've set the problem up wrong. Theoretically, there's no reason why you shouldn't be able to do the integral in spherical coordinates (although it'll be a lot more complicated), so I think if I do I should get some...
  14. N

    Electric field inside a uniformly polarised cylinder

    That's what I tried to use (except I didn't set r to 0 from the start though it shouldn't matter surely?). The integral I ended up getting (just for the interval 0 to pi for phi) was: V(r)=PR2/(4πε0)∫0π∫0π (cos(φ)sin(θ))/√(r2-R2-2rRcos(θ)) dθdφ (sorry about how it looks, still trying to get...
  15. N

    Electric field inside a uniformly polarised cylinder

    I kept r (the vector from the origin to the point I want to find the potential at), just as r. But since we are not integrating over r I don't think that would matter. I also set the r' in the integral equal to R, since all the surface charge is at a distance R. Thanks for the link, although on...
Back
Top