I havn't had much classes on numerical methods in quantum mechanics and I'm wondering how one would solve a general problem involving 2d motion. With general, I mean a problem that cannot be separated. Consider for instance the hamiltonian(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\hat{H} = \frac{\widehat{p}_{x}^{2}+\widehat{p}_{y}^{2}}{2m}+x^{2}y^{2}[/itex]

How does one find the eigenvalues and eigen functions numerically?

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# How to solve 2d problems numerically.

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