Direct solution of the Schrodinger equation by a parallel genetic algorithm: Cases of an exactly solvable 2-D interacting oscillator and the hydrogen atom

摘要

The Schrodinger 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 x 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. (C) 2003 Wiley Periodicals, Inc. [References: 12]