IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4899-1537-5_15.html

Topological Quantum Numbers of m-Particle Systems

In: Symmetries in Science X

Author

Listed:
  • Hans-Jürgen Mann

    (Technische Universität Clausthal, Institut für Theoretische Physik)

Abstract

The category of topological spaces and continuous maps is an important conception in theoretical physics. Topological spaces appear in many situations, e. g. as a configuration space or as a state space of a classical or quantum mechanical system, and the elements of these spaces carry information about observable properties of the system. Of course, the local structureof such a topological space — usually encoded in terms of a distance function or metric — is important, e. g. for the comparison of any two different elements of the space and for the use of approximation methods. But also the global structureof the topological space may contain important information about the system, which can not be obtained from the local structure of the space. Examples for global structures are provided by the compactness of a topological space or the requirement of certain boundary conditions1 for functions defined on the space.

Suggested Citation

  • Hans-Jürgen Mann, 1998. "Topological Quantum Numbers of m-Particle Systems," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 285-292, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_15
    DOI: 10.1007/978-1-4899-1537-5_15
    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_15. 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.