Application of genetic algorithm to the calculation of bound states and local density approximations

Yehuda Zeiri; Eyal Fattal; Ronnie Kosloff

doi:10.1063/1.468715

Application of genetic algorithm to the calculation of bound states and local density approximations

Yehuda Zeiri, Eyal Fattal, Ronnie Kosloff

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

A novel method, based on genetic algorithms, has been developed and applied to the solution of differential equations. The new approach is based on the use of real numbers to form the candidate solutions which are improved iteratively by a suitable breeding process. The algorithm was tested in the calculation of the bound states of a double well potential and in the nonlinear density functional calculation. Comparison of the results with those obtained using the direct relaxation method shows excellent agreement.

Original language	English
Pages (from-to)	1859-1862
Number of pages	4
Journal	Journal of Chemical Physics
Volume	102
Issue number	4
DOIs	https://doi.org/10.1063/1.468715
State	Published - 1 Jan 1995
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy
Physical and Theoretical Chemistry

Access to Document

10.1063/1.468715

Cite this

@article{78eb1097deec43d493a95095c069db2f,

title = "Application of genetic algorithm to the calculation of bound states and local density approximations",

abstract = "A novel method, based on genetic algorithms, has been developed and applied to the solution of differential equations. The new approach is based on the use of real numbers to form the candidate solutions which are improved iteratively by a suitable breeding process. The algorithm was tested in the calculation of the bound states of a double well potential and in the nonlinear density functional calculation. Comparison of the results with those obtained using the direct relaxation method shows excellent agreement.",

author = "Yehuda Zeiri and Eyal Fattal and Ronnie Kosloff",

year = "1995",

month = jan,

day = "1",

doi = "10.1063/1.468715",

language = "English",

volume = "102",

pages = "1859--1862",

journal = "Journal of Chemical Physics",

issn = "0021-9606",

publisher = "American Institute of Physics",

number = "4",

}

TY - JOUR

T1 - Application of genetic algorithm to the calculation of bound states and local density approximations

AU - Zeiri, Yehuda

AU - Fattal, Eyal

AU - Kosloff, Ronnie

PY - 1995/1/1

Y1 - 1995/1/1

N2 - A novel method, based on genetic algorithms, has been developed and applied to the solution of differential equations. The new approach is based on the use of real numbers to form the candidate solutions which are improved iteratively by a suitable breeding process. The algorithm was tested in the calculation of the bound states of a double well potential and in the nonlinear density functional calculation. Comparison of the results with those obtained using the direct relaxation method shows excellent agreement.

AB - A novel method, based on genetic algorithms, has been developed and applied to the solution of differential equations. The new approach is based on the use of real numbers to form the candidate solutions which are improved iteratively by a suitable breeding process. The algorithm was tested in the calculation of the bound states of a double well potential and in the nonlinear density functional calculation. Comparison of the results with those obtained using the direct relaxation method shows excellent agreement.

UR - http://www.scopus.com/inward/record.url?scp=36449006240&partnerID=8YFLogxK

U2 - 10.1063/1.468715

DO - 10.1063/1.468715

M3 - Article

AN - SCOPUS:36449006240

SN - 0021-9606

VL - 102

SP - 1859

EP - 1862

JO - Journal of Chemical Physics

JF - Journal of Chemical Physics

IS - 4

ER -

Application of genetic algorithm to the calculation of bound states and local density approximations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this