I know that the HO hamiltonian in matrix form using the known eigenvalues is(adsbygoogle = window.adsbygoogle || []).push({});

<i|H|j> = E^j * delta_ij = (j+1/2)hbar*omega*delta_ij, a diagonalized matrix.

How do I set up the non-diagonalized matrix from the potential V=1/2kx^2?

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# Harmonic oscillator in matrix form

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