Recent content by haushofer

  1. haushofer

    Graduate Sidney Coleman's opinion on interpretation in his Dirac lecture

    It's comparable to the time where the geocentric and heliocentric models both successfully explained planetary orbits. It was only in accepting the heliocentric model that modern cosmology could develop. From this modern standpoint the heliocentric model of course is to be preferred. Sometimes...
  2. haushofer

    Advice on visiting CERN?

    My advice: don't mention the war or supersymmetry.
  3. haushofer

    Undergrad ##r-##independent angular momentum in quantum mechanics

    Intuitively: if r and v point in the same or opposite direction, L is zero. So only movement in the direction perpendicular to r contributes to L. Those are the angles. By the way, this is also what makes the l=0 states of e.g. hydrogen clasically difficult to understand: it involves movement...
  4. haushofer

    Undergrad 2nd order ODE's, variation of parameters and the notorious constraint

    Yes, that's a gread addition. It leaves me with the final question: are all constraints one can impose consistent? And how can we check that? Working everything out for other constraints leaves us in general with second order derivatives and the coefficients themselves, giving the same problem...
  5. haushofer

    Undergrad 2nd order ODE's, variation of parameters and the notorious constraint

    Yes, thanks a lot, you're absolutely right. Reading your post I redid the calculation and indeed was missing a factor of p(x) which makes all the difference! I had a strong feeling pW=const. should play a role, but couldn't see it of course. You saved my day! I've seen quite some texts on this...
  6. haushofer

    Undergrad 2nd order ODE's, variation of parameters and the notorious constraint

    I found the book: https://people.uncw.edu/hermanr/mat463/ODEBook/Book/ODE2.pdf
  7. haushofer

    Undergrad 2nd order ODE's, variation of parameters and the notorious constraint

    Hi folks, I decided to brush up my knowledge of Green's functions and Differential Equations, and came across this chapter, https://people.uncw.edu/hermanr/mat463/odebook/book/greens.pdf of some unknown book (if anybody recognizes it, I'd like to know the title). In 8.3 (page 265) the...
  8. haushofer

    Graduate Kruskal Coordinates in Schwartzchild metric

    If I understand you correctly: wouldn't that mean that your version of the Kruskal metric still has a coordinate singularity at r=2M? So no, that doesn't seem right.
  9. haushofer

    Undergrad How to define a vector field?

    Ah, the one book, from the one author. My favourite.
  10. haushofer

    Volume with spherical coordinates

    Maybe I'm a bit dumb, but you have to be a bit more specific if you want to receive help. Personally I can't make anything out of this. If you want people to help you, put effort in a clear opening post.
  11. haushofer

    Undergrad Simple thought experiment with Stefan-Boltzmann law: energy

    Never mind, solved it. This was serious confusion :-p
  12. haushofer

    Undergrad Simple thought experiment with Stefan-Boltzmann law: energy

    I guess my confusion is this: why would the hotter sphere cool down a bit by absorbing radiation from the colder sphere?
  13. haushofer

    Undergrad Is calling fictitious forces "not real" just about terminology?

    I think every teacher knows that words are really important in physics. Physics is also about interpretation, or "ontology", or "concepts" as you put it. And that involves wording, which shapes our understanding of everything, including physics. Ultimately, we don't just use math to understand...
  14. haushofer

    Undergrad Is calling fictitious forces "not real" just about terminology?

    My 2 cents: if you're being pushed in your chair because the train accelerates, it's a frame-independent fact that an engine makes the train accelerating. That's why we call this force "real". Your body with inertia just resists this change of speed. In your frame you describe this as a force...
  15. haushofer

    Undergrad Simple thought experiment with Stefan-Boltzmann law: energy

    @kuruman I only see now your comment about absorption, emission and minus signs. But isn't the whole point that if (say) sphere 1 absorbs power from sphere 2, eventually this extra energy is reemitted? That's why I choose a plus sign for c.