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ABSTRACT:The Schrö dinger equation for an exactly solvable 2-D interacting oscillator problem is solved numerically by application of a parallel genetic algorithm on a fixed coordinate grid (n ϫ n). The critical energy evaluation step for the wave function strings is parallelized. A fast Fourier transform is used for computing the kinetic energy while the potential energy is obtained by quadrature. Comparison with the exact result indicates viability of the method. As a second case, the hydrogen atom problem is solved by the same method. Parallel performance of the code is also assessed.

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