Abstract
Numerical solutions are obtained for the time-independent Schrödinger equation for a system of two particles of the same charge, repelled by the Coulomb force and confined to a two-dimensional infinite well. The eigenfunctions are expanded in a basis set of product delta functions; the Coulomb potential's singularity is thereby removed. We discuss our findings regarding correlated behavior in the lowest energy states of a well of width and length 3 bohr and the ordering of symmetric and antisymmetric states. Presented are conditional-probability densities in which Coulomb and Fermi holes are featured. The method is useful for treating other two-particle interactions in two dimensions. © 2002 Wiley Periodicals, Inc. Int J Quantum Chem, 2002
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