Numerical solution of the Schrödinger equation by a microgenetic algorithm

H. Nakanishi, M. Sugawara

Research output: Contribution to journalArticlepeer-review

43 Citations (Scopus)

Abstract

A new approach for solving the Schrödinger equation based on a microgenetic algorithm (μ-GA) is presented. Feed forward neural network is used to represent the solution, while random point evaluation method (RPEM) is introduced to define the fitness score to be maximized in the μ-GA breeding procedure. Convergence of the final stage of searching is accelerated by invoking the deterministic optimizer. The algorithm is tested in the calculation of one-dimensional harmonic oscillator and double-well potential systems.

Original languageEnglish
Pages (from-to)429-438
Number of pages10
JournalChemical Physics Letters
Volume327
Issue number5-6
DOIs
Publication statusPublished - 2000 Sept 15
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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