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I just want to check I understand correctly the Schrodinger equation for two electrons.

https://en.wikipedia.org/wiki/Schrödinger_equation#Time-independent_equation

With control F you can find "two electrons atoms or ions" section.

Let's assume the wave function = x_{1}^{ 2}+ x_{2}^{2}and let's test if it satisfies the differential equation. (Instead of position vector r y use only x in 1D and the Laplacian operator is just a derivative respect x):

E * (x_{1}^{2}+ x_{2}^{2}) = -h^{2}* (2/μ) + e^{2}/4piε_{0}* (1/x_{2}-x_{1}- Z ( 1/x_{1}+1/x_{2})) * (x_{1}^{2}+ x_{2}^{2})

In case this equation were true I would have found a solution, Is this correct?

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# I Just to check Schrodinger equation with 2 electrons

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