IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i3p294-d727843.html
   My bibliography  Save this article

Coupled Harmonic Oscillator in a System of Free Particles

Author

Listed:
  • Dmitry Makarov

    (Department of Fundamental and Applied Physics, Northern (Arctic) Federal University, nab. Severnoi Dviny 17, 163002 Arkhangelsk, Russia)

Abstract

The coupled quantum harmonic oscillator is one of the most researched and important model systems in quantum optics and quantum informatics. This system is often investigated for quantum entanglement in the environment. As a result, such studies are complex and can only be carried out using numerical methods that do not reveal the general pattern of such systems. In this work, the external environment is considered to be two independent particles interacting with coupled harmonic oscillators. It is shown that such a system has an exact analytical solution to the dynamic Schrödinger equation. The analysis of this solution is carried out, and the main parameters of this system are revealed. The solutions obtained can be used to study more complex systems and their quantum entanglement.

Suggested Citation

  • Dmitry Makarov, 2022. "Coupled Harmonic Oscillator in a System of Free Particles," Mathematics, MDPI, vol. 10(3), pages 1-9, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:3:p:294-:d:727843
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/3/294/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/3/294/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dmitry Makarov, 2023. "Quantum Theory of Scattering of Nonclassical Fields by Free Electrons," Mathematics, MDPI, vol. 11(9), pages 1-8, April.

    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:gam:jmathe:v:10:y:2022:i:3:p:294-:d:727843. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.