Numerical solutions of the Schrodinger equation directly or perturbatively by a genetic algorithm: test cases

摘要

The workability of a genetic algorithm-based strategy to solve the Schrodinger equation directly is tested with reference to a screened Coulomb potential and an oscillator with quartic anharmonicity. The suitability of the same basic idea in solving the inhomogeneous differential equations of Rayleigh-Schrodinger perturbation theory is also examined in this context with particular reference to the ground state of a two-electron atom. Special advantages of the general approach are stressed. (C) 1998 Elsevier Science B.V. All rights reserved. [References: 14]