IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v291y2001i1p439-448.html
   My bibliography  Save this article

Ground-state wave functions of two-particle systems determined using quantum genetic algorithms

Author

Listed:
  • Grigorenko, Ilia
  • E. Garcia, Martin

Abstract

We apply a quantum genetic algorithm to calculate ground-state wave functions of two-particle systems in one and two dimensions. The method is based on the application of evolutionary operations (copy, crossover, mutation) on trial wave functions. The quantum version of genetic algorithms, presented in a previous work for single-particle problems in one dimension [Grigorenko and Garcia, Physica A 284 (2000) 131], has been extended to two-particle systems and two dimensions by conveniently redefining the mutation and cross-over operations. We test the method by determining the exact ground state for noninteracting two-particle systems in two dimensions under different external potentials. We also use the method to calculate the Hartree–Fock ground state of interacting two-particles systems in one and two dimensions. In all cases our calculated electron distributions are in good agreement with both exact analytical and numerical results.

Suggested Citation

  • Grigorenko, Ilia & E. Garcia, Martin, 2001. "Ground-state wave functions of two-particle systems determined using quantum genetic algorithms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 439-448.
    • Handle: RePEc:eee:phsmap:v:291:y:2001:i:1:p:439-448
    DOI: 10.1016/S0378-4371(00)00502-1
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437100005021
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(00)00502-1?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:291:y:2001:i:1:p:439-448. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.