(adsbygoogle = window.adsbygoogle || []).push({}); 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=x^{2}y + sin(z)

V= x^{2}+y +tan^{-1}(z^{1/2})

2. Relevant equations

(-h^{2}/2m)(d^{2}ψ/dx^{2}+ d^{2}ψ/dy^{2}+ d^{2}ψ/dz^{2}) +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 -h^{2}/2m (1/X d^{2}X)/dx^{2})=Ex and just add the v(x) to this and then the same for v(y)?

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# Show that the equation is separable

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