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Homework Help: Parity of wave function corresponding to even potential

  1. Mar 4, 2010 #1
    1. The problem statement, all variables and given/known data

    Using time independent 1D Shrodinger equation, show that if V(x) is even and Psi(x) is a solution, Psi(-x) is also solution. Then, assume Psi(-x) and Psi(x) differ only by a constant, show that the constant is either +1 or -1.

    2. Relevant equations

    3. The attempt at a solution
    Can I get some help just on where to start the first part for now?
    I tried solving the time independent shrodinger equation for V(x) and setting V(x) = V(-x)
    which gave me:
    Psi(x)/Psi(-x) = Psi''(-x)/Psi''(x)
    but I can't figure out where to go from here or even if i'm doing the right thing.
  2. jcsd
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