Recent content by xoxomae

  1. X

    Probability wave function is still in ground state after imparting momentum

    Thank you. Do you by any chance know any way to solve that integral by hand? I solved it on mathematica and it gave me ##P=e^\frac{-{k_{0}}^{2}\hbar}{4mw}## but I have no idea how to solve it by hand. Thanks again.
  2. X

    Probability wave function is still in ground state after imparting momentum

    Ah right. So would this be the probability of the system still being in the ground state? ##\left | \int_{-\infty}^{\infty} \psi_{0} \psi_{0} e^{ik_{o}x}dx\right |^2=P##
  3. X

    Probability wave function is still in ground state after imparting momentum

    Homework Statement An interaction occurs so that an instantaneous force acts on a particle imparting a momentum ## p_{0} = \hbar k_{0}## to the ground state SHO wave function. Find the probability that the system is still in its ground state. Homework Equations ##\psi _{0} =\left(...
  4. X

    I Divergence Theorem not equaling 0

    Sorry, I forgot to mention that f(r) = div (grad (1/r))
  5. X

    I Divergence Theorem not equaling 0

    Why is it possible that ∫∫∫ V f(r) dV ≠ 0 even if f(r) =0
  6. X

    Position vector in spherical coordinates

    Is the position vector r=xi+yj+zk just r=rerin spherical coordinates?
  7. X

    I Vector Fields

    Is v(r) ≡ v(x,y,z)
  8. X

    Question about the Dirac Delta Function

    Homework Statement Find the Fourier spectrum of the following equation Homework Equations ##F(\omega)=\pi[\delta(\omega - \omega _0)+\delta(\omega +\omega_0)]## The Attempt at a Solution Would the Fourier spectrum just be two spikes at ##+\omega _0## and ##-\omega _0## which go up to infinity?
  9. X

    Phasor angular velocity for a triangle wave?

    What would the angular velocity for a phasor be for a triangle wave? I think it would vary sinusoidally but I cant find an expression
  10. X

    Maximum Kinetic Energy from a Physical Pendulum

    Okay, so i drew a picture and realised that I made a mistake. I got to Change in x = l/2 * (1- cos(x))
  11. X

    Maximum Kinetic Energy from a Physical Pendulum

    Would I have to use cos (x) instead of sin (x)? Umm yes thats the question :)
  12. X

    Maximum Kinetic Energy from a Physical Pendulum

    I used a factor of sin (x) because the change in the y axis * mg is equal to total potential energy y = r sin (theta) when changing between polar and cartesian coordinates Is this the wrong way to think about it?
  13. X

    Maximum Kinetic Energy from a Physical Pendulum

    Homework Statement Determine the maximum kinetic energy of a uniform rod of mass 0.5Kg and length 0.75 that has an angular displacement of 5 degrees. Homework Equations y = rsin (x) where x is the angular displacement The Attempt at a Solution Using conservation of energy ETotal = EMech +...
  14. X

    Disintegration Energy of Beta Plus Decay

    Ah i think I understand Q = ((mC- 6mE) - (mB - 5mE + mE))c2 Q = (mC - mB - 2me) c2 Is this right?
Top