The variation method for approximating the the ground state eigenvalue, when applied to higher energy states requires that the trial function be orthogonal to the lower energy eigenfunctions.In that respect this book I am referring(by Leonard Schiff) mentions the following function as the general function orthogonal to the previous level eigenfunction:(adsbygoogle = window.adsbygoogle || []).push({});

ψ - (U_{Eo}× ∫((U_{Eo}[conjug])ψ dτ)) for any general fn ψ

Can somebody prove the above function's orthogonality to U_{Eo}? I have tried to do it but could not come up with it?

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# Variation Method for Higher Energy States

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