[tex]\widehat{H} = \frac{p^2}{2m} + V(x)[/tex](adsbygoogle = window.adsbygoogle || []).push({});

if eigenvalue of H operator is [tex]E_n[/tex] and eigenvectors are [tex]u_n[/tex], show that

[tex]\Sigma_m (E_m-E_n) |x_{mn}|^2 = \frac{\hbar^2}{2m}[/tex]

is true. here, [tex]x_{mn} = (u_m, xu_n)[/tex] is a matrix element.

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# Homework Help: Beginner's quantum mechanic homework

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