Journal ArticleDOI
Numerical solutions of the Schrödinger equation directly or perturbatively by a genetic algorithm: test cases
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TLDR
In this paper, 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.About:
This article is published in Chemical Physics Letters.The article was published on 1998-10-30. It has received 30 citations till now. The article focuses on the topics: Differential equation & Anharmonicity.read more
Citations
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Synergy between theory and experiment in structure resolution of low-dimensional oxides
TL;DR: In this paper, a review of the recent progress in joint theoretical and experimental studies aiming at atomic structure determination of low-dimensional metal oxides is presented, and it is shown that often the only way of an unambiguous atomic structure discovery of lowdimensional systems are experimental studies combined with theoretical calculations.
Journal ArticleDOI
Bound-bound transitions in hydrogenlike ions in Debye plasmas
TL;DR: In this article, the spectral properties of hydrogen-like ions in the plasma, including the transition frequencies, absorption oscillator strengths, radiative transition probabilities, as well as the line intensities of the Lyman and Balmer series, were investigated for a wide range of plasma screening parameters.
Journal ArticleDOI
Numerical solution of the Schrödinger equation by neural network and genetic algorithm
TL;DR: Feed-forward perceptron-type network is used to represent the wavefunction, while network parameters are optimized by micro-genetic algorithm so that the NN satisfies the Schrodinger equation.
Journal ArticleDOI
Numerical solution of the schrodinger equation by a microgenetic algorithm
H. Nakanishi,M. Sugawara +1 more
TL;DR: 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.
References
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Book
Genetic algorithms in search, optimization, and machine learning
TL;DR: In this article, the authors present the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields, including computer programming and mathematics.
Genetic algorithms in search, optimization and machine learning
TL;DR: This book brings together the computer techniques, mathematical tools, and research results that will enable both students and practitioners to apply genetic algorithms to problems in many fields.
Journal ArticleDOI
Renormalised perturbation series
TL;DR: In this paper, the hypervirial method was used to obtain the perturbation series for the perturbed oscillator and the hydrogen atom, and indirectly for the helium atom.
Journal ArticleDOI
Fourier grid Hamiltonian method for bound states of multidimensional systems. Formulation and preliminary applications to model systems
TL;DR: In this article, a local grid method is proposed for computing the bound state eigenvalues and eigenvectors of multidimensional systems and the connection of the proposed methods with the one-dimensional Fourier grid Hamiltonian method is clarified.
Related Papers (5)
Numerical solution of the schrodinger equation by a microgenetic algorithm
H. Nakanishi,M. Sugawara +1 more