Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Wave function

  1. Feb 22, 2006 #1
    the wave function descrbing a state of an electron confined to move along the xaxis is given at time zero by:

    [tex]\Psi(x,0)=Ae^{\frac{-x^2}{4 \sigma^2}}[/tex]

    where sigma is a constant (i believe).

    I am asked to find the probability of finding the electron in a degion dx centered at x=0.

    I really dont know where to being since the wave function isnt in complex form so I cant multiply it by its complex conjugate. what should I do?
  2. jcsd
  3. Feb 22, 2006 #2
    [tex] P(x)= \Psi ^* \Psi [/tex] whether the wavefunction is complex or not. So [tex] P(0) = A^2e^{\frac{-x^2}{2 \sigma^2}}|_{x=0} = A^2 [/tex].


    PS In case this is the issue, if a is a real number [tex] a^* = a[/tex].
    Last edited: Feb 22, 2006
  4. Feb 22, 2006 #3
    you mean [tex] P(0,0) [/tex] right? cause it is with respect to time too, but time is always t=0 in this problem
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook