IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v3y2015i2p319-328d49149.html
   My bibliography  Save this article

There Are Quantum Jumps

Author

Listed:
  • Erkki J. Brändas

    (Department of Chemistry, Ångström Laboratory, Institute of Theoretical Chemistry, Uppsala University, P.O. Box 518, S-751 20 Uppsala, Sweden)

Abstract

In this communication we take up the age-old problem of the possibility to incorporate quantum jumps. Unusually, we investigate quantum jumps in an extended quantum setting, but one of rigorous mathematical significance. The general background for this formulation originates in the Balslev-Combes theorem for dilatation analytic Hamiltonians and associated complex symmetric representations. The actual jump is mapped into a Jordan block of order two and a detailed derivation is discussed for the case of the emission of a photon by an atom. The result can be easily reassigned to analogous cases as well as generalized to Segrè characteristics of arbitrary order.

Suggested Citation

  • Erkki J. Brändas, 2015. "There Are Quantum Jumps," Mathematics, MDPI, vol. 3(2), pages 1-10, May.
    • Handle: RePEc:gam:jmathe:v:3:y:2015:i:2:p:319-328:d:49149
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/3/2/319/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/3/2/319/
    Download Restriction: no
    ---><---

    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:3:y:2015:i:2:p:319-328:d:49149. 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.