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Homework Help: In Quantum Mechanics Problem

  1. Mar 23, 2012 #1
    in Quantum Mechanics Problem
    it must be ∫ψ*d3ψ\dx3 dx =∫d2ψ\dx2 dx how ? ? i think it will be by inGration by parts i need steps
     
  2. jcsd
  3. Mar 23, 2012 #2
    d3\dx3 ∫ψ*ψdx = d2\dx ∫ψ*dψ\dx dx

    d3\dx3 ∫ψ*ψdx = d2\dx d\dx ∫ ψ*ψ dx

    d3\dx3 ∫ψ*ψdx = d3\dx3 ∫ ψ*ψ dx

    and from normlization we found that

    ∫ψψ*=1

    so right hand side = left hand side =d3\dx3 ∫ψ*ψdx = d2\dx ∫ψ*dψ\dx dx


    is this solution true ?
     
  4. Mar 24, 2012 #3
    I can't tell what you're asking. Are you saying
    [tex] \int \psi^* d^3 \psi dx^3 dx = \int d^2 \psi dx^2 dx[/tex]
    or
    [tex] \int \psi^* \frac{d^3 \psi}{ dx^3} dx= \int \frac{d^2 \psi}{dx^2} dx[/tex]?
    I'm guessing it's the latter.
     
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