We were told in lectures that the time independent Schrodinger equation can be applied to wavefunctions, i.e. [itex]\frac{hbar^2}{2m}[/itex][itex]\frac{d^2U}{dx^2}[/itex]+V(x)U=EU where U is the wavefunction bra x ket psi. I don't understand why this is valid, as wavefunctions are probability amplitudes, and operators can't operate on mere numbers. Could someone explain how this result is derived? In other words, how do you apply the TISE in the position representation?(adsbygoogle = window.adsbygoogle || []).push({});

Thanks in advance for your help!

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# TISE in the position representation- basic question

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