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Superposition of two wavefunctions

  1. Mar 4, 2012 #1

    Leb

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    [SOLVED] Superposition of two wavefunctions

    1. The problem statement, all variables and given/known data
    The problem is more of complex number arithmetic more then conceptual : Superposition.jpg


    2. Relevant equations

    [itex]|\psi|^{2}=\psi\psi^{*}[/itex]

    3. The attempt at a solution

    I simply used the equation given above, but instead of getting 2Re{...} I get :

    [itex]|\psi_{1}||\psi_{2}| \left( c_{1}c_{2}^{*}\exp({i(\alpha_{1}-\alpha_{2})})+c_{1}^{*}c_{2}\exp({-i(\alpha_{1}-\alpha_{2})})\right)[/itex]

    Could someone explain how is this equal to that given in the notes I attached ?
     
    Last edited: Mar 4, 2012
  2. jcsd
  3. Mar 4, 2012 #2

    spf

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    The following link should be helpful:

    http://en.wikipedia.org/wiki/Complex_number#Conjugation
     
  4. Mar 4, 2012 #3

    Leb

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    Great, thanks !
     
  5. Mar 4, 2012 #4

    spf

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    Glad to help.
     
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