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: Quantum physics potential well.

  1. Jun 30, 2013 #1
    1. The problem statement, all variables and given/known data

    In the instant t=0, we have the following wave function of a particle in a infinite potential well with a width [itex]a[/itex].

    [itex]\psi (x) = \sqrt{\frac{2}{a}}\text{Sin}\left[\frac{n*\text{Pi}*x}{a}\right][/itex]

    Calculate the momentum space wave function.

    Ok, i just want to confirm if i have to use the following equation to calculate momentum space wave function:

    [itex]\phi (p) = \sqrt{\frac{1}{2*\text{Pi}*\hbar}}\int _0^ae^{-i*p*x/\hbar}dx\sqrt{\frac{2}{a}}\text{Sin}\left[\frac{n*\text{Pi}*x}{a}\right][/itex]

    Considering that the well has a zero potential between 0 and a.
    Last edited: Jun 30, 2013
  2. jcsd
  3. Jun 30, 2013 #2


    User Avatar
    Staff Emeritus
    Science Advisor
    Homework Helper
    Education Advisor

    Right. The momentum-space wave function is simply the Fourier transform.
  4. Jun 30, 2013 #3
    ok thanks !
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted