How do I solve this integration problem in quantum mechanics?

[sciboudy]

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

 

[sciboudy]

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 ?

 

[sean_mp]

I can't tell what you're asking. Are you saying
$$\int \psi^* d^3 \psi dx^3 dx = \int d^2 \psi dx^2 dx$$
or
$$\int \psi^* \frac{d^3 \psi}{ dx^3} dx= \int \frac{d^2 \psi}{dx^2} dx$$?
I'm guessing it's the latter.