Recent content by TheMercury79

  1. TheMercury79

    Error propagation leads to different uncertainties, which do I choose?

    What is up with your answer?. It is obvious I just forgot an extra '$' so it is not necessary to ask about my equation. Yes I said 'measure', you're right I should have said 'determine', but you still know what I meant. It depends on two quantitites, their fractional errors add in quadrature...
  2. TheMercury79

    Error propagation leads to different uncertainties, which do I choose?

    I understand how to compute and propagate errors but have trouble with conceptualizing all things put together. I have performed an experiment to determine a value for some quantity. This quantity depend on two variables. The first one depend in turn on some other quantities as well but I think...
  3. TheMercury79

    Momentum transfer in electron-proton collision

    anyway, thanks for the help
  4. TheMercury79

    Momentum transfer in electron-proton collision

    Because I knew the answer is not zero. Why should I check and see if the answer i zero? That's just ridiculous, of course it's not zero.
  5. TheMercury79

    Momentum transfer in electron-proton collision

    Now I see it! Pero said the same thing but he threw me off by insisting we should set ##\theta## to zero
  6. TheMercury79

    Momentum transfer in electron-proton collision

    But the correct answer is supposed to be ##Q^2=-4\frac{EE'}{c^2}cos^2\frac{\theta}{2}## I just put in it the other form to illustrate the plus and minus difference. And I instead got ##Q^2=-4\frac{EE'}{c^2}sin^2\frac{\theta}{2}##
  7. TheMercury79

    Momentum transfer in electron-proton collision

    maybe I formulated it badly but the original statement was"##\theta## is the angle between the outgoing electron and the incoming proton". I figured the collision was head on, so this is the same as what I said "##\theta## is the angle between the electron before and after the collision" I don't...
  8. TheMercury79

    Momentum transfer in electron-proton collision

    In a head-on collision between the proton and electron, what is the squared 4-momentum transfer between the two particles. Starting with the difference in momentum of the electron with the 4-vectors before and after the event: $$(P-P')^2=P^2+P'^2-2P\cdot P'$$ The circumstances are such that the...
  9. TheMercury79

    Is the Cube of matrix associative?

    Thanks. It turned out they are the same. I just ended up with different expressions on the transposes. e.g (3/2)*sqrt(1/2) was transposed with sqrt(1/2)*(1+sqrt(1/2)), but these are equal so there was no problem
  10. TheMercury79

    Is the Cube of matrix associative?

    But I actually don't get the same matrix. What I get is the transpose of the other when I change the order i.e when I do [A]^2[A] I get the transpose of [A][A]^2 and vice versa What I'm trying to do is find the cube of the expectation value of x in the harmonic oscillator in matrix form. We're...
  11. TheMercury79

    I Scale factor from Friedmann's equations

    No it didn't. The text we use showed how if you differentiate the first you get the second. I guess the intstructions threw me off a bit. "Use the second equation directly" it said, it sounded so definite, like that's what you have to work with, nothing else. Anyway thanks. Will try and see what...
  12. TheMercury79

    I Scale factor from Friedmann's equations

    If we take a flat universe dominated by radiation, the scale factor is ##a(t)=t^{1/2}## which can be derived from the first Friedmann Equation:$$(\dot a/a)^2 = \frac{8\pi G}{3c^2}\varepsilon(t)-\frac{kc^2}{R_0^2 a(t)^2}$$ But suppose I want to show this using the second Friedmann Equation (Also...
  13. TheMercury79

    I Hubble relation to Scale Factor

    I feel kinda stupid now, The Friedmann equations is in the next chapter. I was under the impression this should be solved with contents of the current chapter. But I see now I've read the curriculum wrong. I have a full time job and taking this course on the side is really stressful. I just knew...
  14. TheMercury79

    I Hubble relation to Scale Factor

    Imagine a Universe where the Hubble parameter is truly a constant, in both space and time. How much smaller would such a Universe be 14 billion years ago compared to today? Using the Hubble parameter in terms of scale factor: ##H(t) = \frac{\dot{a}}{a}## leads to the differential equation...
  15. TheMercury79

    I Can the Second Plane Autonomous System Have a Unique Critical Point?

    After further inspection I still come up with nothing. I found that if y=a, then ##bx+x^2=1##, but since this is a quadratic, it yields two possible values for x in terms of b, so there can't be a unique point for the second system. And how to use it with ab>1 is a mystery to me since it seems...
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