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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

    vela

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    Right. The momentum-space wave function is simply the Fourier transform.
     
  4. Jun 30, 2013 #3
    ok thanks !
     
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