IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4899-1537-5_28.html
   My bibliography  Save this book chapter

q-Quantum Mechanics on T n

In: Symmetries in Science X

Author

Listed:
  • Reidun Twarock

    (TU Clausthal, Arnold Sommerfeld Institut)

Abstract

In [1] and [2] a version of a q-quantum mechanics on S 1 has been presented, which is given entirely in terms of discrete derivatives and is thus suitable for an application to physical systems which are defined over a discrete configuration space S 1 N consisting of the N-th roots of unity. The motivation for this version was explained in [3]. Here, an extension of the formalism of this version to the n-dimensional torus T n ≅S 1×... × S 1is discussed. It is shown that the results for T n can be derived canonically from those fo S 1. It is the first step in the generalization of q-Borel quantization and the corresponding q-quantum mechanics to higher dimensional manifolds. As in the case of S 1, one obtains in the limit q→ 1 additional information on the dynamics in the undeformed situation.

Suggested Citation

  • Reidun Twarock, 1998. "q-Quantum Mechanics on T n," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 435-441, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_28
    DOI: 10.1007/978-1-4899-1537-5_28
    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

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:978-1-4899-1537-5_28. 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.