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Most of my work in the past has been on 1D independent particle systems where I use matrix diagonalisation to solve the time-independent Schrodinger equation.

How do I go about this for 2D? Or, more accurately, for a two-body wf in 1D? It strikes me as straightforward to construct a Hamiltonian matrix for 2D, but what will that give me when I diagonalise it? Am I going to have to bite the bullet and go to iterative procedures? Please don't make me use a Slater determinant basis!!!

Thanks in advance.

El Hombre

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# Solving 1D 2-particle/2D 1-particle Schrodinger equation

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