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Homework Help: Relativistc probability current

  1. Jan 2, 2008 #1
    [SOLVED] Relativistc probability current

    1. The problem statement, all variables and given/known data

    I've got two formulae here and I'm not sure how you get from the first to the second:

    [tex]\textbf{j}(\textbf{x},t) = Re[\Psi^{*}(x,t)(-i/m)\nabla\Psi(x,t)][/tex]

    [tex]= \frac{-i}{2m}[\Psi^{*}(\nabla\Psi) - (\nabla\Psi^{*})\Psi][/tex]

    Can anyone suggest a relationship I need to bridge the gap? Thanks.

    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jan 2, 2008 #2

    Dick

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    Homework Helper

    Try Re(z)=(z+z*)/2.
     
  4. Jan 3, 2008 #3
    Got it! Thanks Dick :)
     
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