Direct solution of Schrodinger equation by genetic algorithm: test cases

Saha, Rajendra ; Chaudhury, Pinaki ; Bhattacharyya, S. P. (2001) Direct solution of Schrodinger equation by genetic algorithm: test cases Physics Letters A, 291 (6). pp. 397-406. ISSN 0375-9601

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S03759...

Related URL: http://dx.doi.org/10.1016/S0375-9601(01)00704-6

Abstract

A stable and generalizable recipe is proposed for directly solving Schrodinger equation by genetic algorithm. The recipe is tested for obtaining (i) the radial wave function of the H-atom in the ground and excited states, (ii) ground and excited states in a symmetric double well potential, (iii) ground and excited states of two coupled harmonic oscillators. The possibility of generalising and extending the recipe to more complex problems is analysed.

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