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Normalize Quantum Mechanical Wavefunction

  1. Sep 22, 2008 #1
    1. The problem statement, all variables and given/known data
    A Quantum mechanical particle is defined by the following wave functions:
    [tex]\Psi[/tex](x) = Aeax for x<0
    [tex]\Psi[/tex](x) = Ae-2ax for X>0

    where A and a are both real, positive constants.

    Normalize the wavefunction, i.e. determine an expression for A in terms of a.


    2. Relevant equations



    3. The attempt at a solution

    I think to normalize it you have to integrate from the limits and set it equal to 1. However, I'm not sure if you have to do it piecewise, like from -inf to 0 and then again from 0 to inf...
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 22, 2008 #2
    Hello mju4t
    You've got it right, you have to integrate it piecewise. That's how the function is defined.
    Good luck.
     
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