IDEAS home Printed from
   My bibliography  Save this article

Full counting statistics of a general quantum mechanical variable


  • Yu Nazarov
  • M. Kindermann



We present a quantum mechanical framework for defining the statistics of measurements of $\int dt \hat{A}(t)$ , A(t) being a quantum mechanical variable. This is a generalization of the so-called full counting statistics proposed earlier for DC electric currents. We develop an influence functional formalism that allows us to study the quantum system along with the measuring device while fully accounting for the back action of the detector on the system to be measured. We define the full counting statistics of an arbitrary variable by means of an evolution operator that relates the initial and final density matrices of the measuring device. In this way we are able to resolve inconsistencies that occur in earlier definitions. We suggest two schemes to observe the so defined statistics experimentally. Copyright Springer-Verlag Berlin/Heidelberg 2003

Suggested Citation

  • Yu Nazarov & M. Kindermann, 2003. "Full counting statistics of a general quantum mechanical variable," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 35(3), pages 413-420, October.
  • Handle: RePEc:spr:eurphb:v:35:y:2003:i:3:p:413-420
    DOI: 10.1140/epjb/e2003-00293-1

    Download full text from publisher

    File URL:
    Download Restriction: Access to full text is restricted to subscribers.

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

    More about this item


    Access and download statistics


    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:eurphb:v:35:y:2003:i:3:p:413-420. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sonal Shukla) or (Rebekah McClure). General contact details of provider: .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.