Not sure whether to post this here or in QM: I trying to numerically solve the Schrödinger equation for the Woods-Saxon Potential and find the energy eigenvalues and eigenfucnctions but I am confused about how exactly the eigenvalues come about. I've solved some differential equations in the past using the Runge–Kutta method, but nothing with eigenvalues. From what I've seen Numerov's method is the way to solve Schrödinger's equation but I don't see how solutions that gives the energy eigenvalues or eigenfucntions. Wouldn't numerically solving the DE just give one solution? I seen some mention of "tridiagonal matrices" being generated somehow, but am not sure what the elements of that matrix would be. Any help would be appreciated.(adsbygoogle = window.adsbygoogle || []).push({});

Thanks

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# Numerical solution to Schrödinger equation - eigenvalues

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