IDEAS home Printed from https://ideas.repec.org/a/hin/jnlaaa/932085.html
   My bibliography  Save this article

The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence

Author

Listed:
  • Shuji Watanabe

Abstract

From the viewpoint of operator theory, we deal with the temperature dependence of the solution to the BCS gap equation for superconductivity. When the potential is a positive constant, the BCS gap equation reduces to the simple gap equation. We first show that there is a unique nonnegative solution to the simple gap equation, that it is continuous and strictly decreasing, and that it is of class with respect to the temperature. We next deal with the case where the potential is not a constant but a function. When the potential is not a constant, we give another proof of the existence and uniqueness of the solution to the BCS gap equation, and show how the solution varies with the temperature. We finally show that the solution to the BCS gap equation is indeed continuous with respect to both the temperature and the energy under a certain condition when the potential is not a constant.

Suggested Citation

  • Shuji Watanabe, 2013. "The Solution to the BCS Gap Equation for Superconductivity and Its Temperature Dependence," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, September.
    • Handle: RePEc:hin:jnlaaa:932085
    DOI: 10.1155/2013/932085
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/AAA/2013/932085.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/AAA/2013/932085.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/932085?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
    ---><---

    Citations

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


    Cited by:

    1. Anghel, Dragoş-Victor, 2021. "Multiple solutions for the equilibrium populations in BCS superconductors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).

    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:jnlaaa:932085. 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.