IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-44988-8_10.html
   My bibliography  Save this book chapter

Why Imaginary Time? QM of the Fermi Oscillator and Path Integrals

In: Trails in Modern Theoretical and Mathematical Physics

Author

Listed:
  • Jürgen Löffelholz

    (Fachhochschule Erfurt FHE, Angewandte Informatik)

Abstract

The path integral for the Fermi oscillator defined by the evolution kernel $$U(t|x,y)$$ , with $$x,y=\pm 1$$ , is analysed in detail. We derive a polar decomposition of the complex-valued cylinder measures $$\mathrm{\,d}W_{N}$$ governing $$N$$ time steps of length $$\tau=T/N$$ and show how it survives the continuous time limit, $$N\rightarrow\infty$$ . Moreover, we confront the formulae with those for the corresponding imaginary time Markoff process.

Suggested Citation

  • Jürgen Löffelholz, 2023. "Why Imaginary Time? QM of the Fermi Oscillator and Path Integrals," Springer Books, in: Andrea Cintio & Alessandro Michelangeli (ed.), Trails in Modern Theoretical and Mathematical Physics, pages 159-175, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-44988-8_10
    DOI: 10.1007/978-3-031-44988-8_10
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-3-031-44988-8_10. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.