IDEAS home Printed from https://ideas.repec.org/a/hin/jnlamp/762908.html
   My bibliography  Save this article

Relativistic Double Barrier Problem with Three Transmission Resonance Regions

Author

Listed:
  • A. D. Alhaidari
  • H. Bahlouli
  • A. Jellal

Abstract

We obtain exact scattering solutions of the Dirac equation in 1 + 1 dimensions for a double square barrier vector potential. The potential bottom between the two barriers is chosen to be higher than 2 mc 2 , whereas the top of the barriers is at least 2 mc 2 above the bottom. The relativistic version of the conventional double barrier transmission resonances is obtained for energies within ± mc 2 from the height of the barriers. However, due to our judicious choice of potential configuration we also find two more (subbarrier) transmission resonance regions below the conventional one. Both are located within the two Klein energy zones and characterized by resonances that are broader than the conventional ones. The design of our double barrier so as to enable us to establish these two new subbarrier transmission resonance regions is our main finding.

Suggested Citation

  • A. D. Alhaidari & H. Bahlouli & A. Jellal, 2012. "Relativistic Double Barrier Problem with Three Transmission Resonance Regions," Advances in Mathematical Physics, Hindawi, vol. 2012, pages 1-13, July.
    • Handle: RePEc:hin:jnlamp:762908
    DOI: 10.1155/2012/762908
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AMP/2012/762908.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AMP/2012/762908.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2012/762908?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
    ---><---

    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:hin:jnlamp:762908. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.