Recent content by Josh1079

  1. J

    A Quark Parton Model: Explaining Inelastic Scattering

    Hi mfb, Orodruin, Thanks for the reply! I see that it is kind of a silly question. Haven't been thinking about scattering for too long. At that moment elastic scattering just occurred to me as saying "energy of lepton is conserved" which is, of course, totally false. Thank you guys so much...
  2. J

    A Quark Parton Model: Explaining Inelastic Scattering

    Hi, I've been studying the quark parton model recently and all seems fine at first. However, there's just one thing bugging me right now. So in the quark parton model it is assumed that inelastic lepton-hadron scattering can be explained by elastic lepton-hadron scattering, but how can it...
  3. J

    A Helicity conservation in scattering

    Hi, My question basically comes from this book called "Deep inelastic scattering" In the second chapter, it first made a similar argument for J = 1 Jz = -1, +1 which is pretty easy to get along with. However, immediately following from that there was this argument which confuses me a bit...
  4. J

    A Understanding Dirac Equation Spinor Boosts

    Thank you @vanhees71 ! This is the clearest comment on this subject I've ever seen! I'll try to work with the details.
  5. J

    A Understanding Dirac Equation Spinor Boosts

    Hi @vanhees71 , Thank you for your reply! So are you saying that since the dirac basis is not eigen to the lorentz boost, it just becomes less sensible to speak of the spin orientation in the boosted frame? And your notes are brilliant! In appendix B I saw something called the...
  6. J

    A Understanding Dirac Equation Spinor Boosts

    Hi @PeterDonis , Thanks for replying! I'm actually just using my lecturer's notes, but he told us that most of his stuff come from Greiner. So I'm really curious about how you interpret the indices of Dirac basis. How could I see the spin orientation after boosting? And I know I neglected a...
  7. J

    A Understanding Dirac Equation Spinor Boosts

    Hi, I'm recently learning the Dirac equation and we're following the more historical approaching working in the Dirac basis. At first it seems OK that the upper two components are interpreted as positive energy and the lower two negative. However, when I learned that after a boost the spinor...
  8. J

    I Normalisation constant expansion of spinor field

    Hi stevendaryl, thanks for the reply! I think I roughly understand what your writing and it seems reasonable. There is just one more question that I'm a bit curious about. So are you trying to say that the reason why there is a factor 1/2E in the expression is because it's doing a 4D Fourier...
  9. J

    I Normalisation constant expansion of spinor field

    Hi, I'm reading about the wave packet solution to the dirac equation but in the book I'm reading it states that \int \frac {d^3p} {(2\pi)^3 2E} [a u e^{-ipx} + b^\dagger \bar{v} e^{ipx} The normalisation constant confuses me. I guess the 2pi^3 is reasonalbe. However, the 1/2E seems a bit...
  10. J

    I Distinguishing electrons through spin

    Hi, Sorry I'm still a bit confused about this. Does this mean that two electrons intially in different states can actually somehow switch states through scattering? Or is this because at the scattering region their wave functions are mixed so it becomes meaningless to say about which is...
  11. J

    I Distinguishing electrons through spin

    Hi I'm recently reading something about the moller scattering in QED, and I'm feeling a bit curious about how plane waves change their spin orientations (e.g. up to down)(I mean in the scenario that one is up and one is down). In the text it seems that it's because the electrons are...
  12. J

    I Schrodinger equation and Heisenberg equation of motion

    Wait, I think I get something now. Is it like this? [H, \phi] = H\phi - \phi H = \int dx' \phi^*(x') h \phi(x') \phi(x) - \phi(x) \int dx' \phi^*(x') h \phi(x') = \int dx' \phi^*(x') h \phi(x') \phi(x) - \int dx' \phi(x) \phi^*(x') h \phi(x') the phi(x) can be taken inside the integral...
  13. J

    I Schrodinger equation and Heisenberg equation of motion

    Hi vanhees, great to see you again! Sorry I don't really follow you this time. I was also trying to use (2.54) and I guess I was stuck because I'm not familiar with an operator that is an integral. So first of all, for the right side of (2.37) I'm not sure whether [H, \phi] = (\int dx...
  14. J

    I Schrodinger equation and Heisenberg equation of motion

    My question is that how does the Schrodinger equation arise from the Heisenberg equation of motion in the quantum field formalism. These are from Hatfield's book. So I'm having some difficulties to reproduce (2.36) by plugging (2.55) into (2.37) primarily because H is an integral...
  15. J

    A Probability density of dirac spinors

    Thanks vanhee! Your replies are very insightful!
Back
Top