1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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: Trouble with normalizing a wave function

  1. Apr 29, 2013 #1
    1. The problem statement, all variables and given/known data
    A particle of mass m is in the state ψ(x,t) = Ae-a[mx2/h-bar)+it]

    Find A

    2. Relevant equations
    I know that to normalize a wave function I should use ∫ψ2 = 1

    3. The attempt at a solution
    The book gives the solution as 1 = 2abs(A)2∫ e-2amx2/h-bar) dx

    My question is where does the "2" factor in front of the A2 come from?
  2. jcsd
  3. Apr 29, 2013 #2
    Hmm...could you perhaps provide a little more information on
    (i) the domain of the wavefunction
    (ii) the bounds of that integral
  4. Apr 29, 2013 #3
    i) the domain is for all x and t > 0?

    ii) the bounds of the integral are from 0 to ∞
  5. Apr 29, 2013 #4
    I think I got it. The solutions manual integrated from 0 to ∞, and multiplied by 2 because of symmetry (to get the -∞ to 0 part)
  6. Apr 29, 2013 #5
    Yup, seems like it. It is rather odd of them to do that though; usually we like -∞ to ∞ bounds because they allow us to use the Gaussian integration formula.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted