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Show that the equation is separable

  1. Oct 27, 2011 #1
    1. The problem statement, all variables and given/known data
    This is a physics problem,
    for which if the following three dimensional potentials would Schrodinger equation be separable

    V=x2y + sin(z)
    V= x2 +y +tan-1 (z1/2)

    2. Relevant equations
    (-h2/2m)(d2ψ/dx2 + d2ψ/dy2 + d2ψ/dz2 ) +v(x,y,z)ψ=Eψ

    3. The attempt at a solution
    Not really sure what to do. It says that the second one is and the first is not, but not sure what to do
    in the book it goes through the steps when v=0 so would i use -h2/2m (1/X d2X)/dx2)=Ex and just add the v(x) to this and then the same for v(y)?
  2. jcsd
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