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

Chaudhury, Pinaki ; Bhattacharyya, S. P. (1998) Numerical solutions of the Schrodinger equation directly or perturbatively by a genetic algorithm: test cases Chemical Physics Letters, 296 (1-2). pp. 51-60. ISSN 0009-2614

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00092...

Related URL: http://dx.doi.org/10.1016/S0009-2614(98)00973-7

Abstract

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.

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