IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v80y1975i3p217-233.html
   My bibliography  Save this article

Vortices in He II, current algebras and quantum knots

Author

Listed:
  • Rasetti, M.
  • Regge, T.

Abstract

A canonical quantization scheme is developed for vertices in superfluid He II, using Dirac's technique for constrained hamiltonian systems. Quantization introduces in the theory in natural way the structure of the infinite Lie algebra of incompressible flows. We argue that all the topological invariants of the vortex, considered as a knot, can be regarded as observables of the system. Finally unitary representations of measure preserving flows on R3 and current algebra are discussed.

Suggested Citation

  • Rasetti, M. & Regge, T., 1975. "Vortices in He II, current algebras and quantum knots," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 80(3), pages 217-233.
    • Handle: RePEc:eee:phsmap:v:80:y:1975:i:3:p:217-233
    DOI: 10.1016/0378-4371(75)90105-3
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437175901053
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(75)90105-3?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Holm, Darryl D., 2003. "Rasetti–Regge Dirac bracket formulation of Lagrangian fluid dynamics of vortex filaments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 62(1), pages 53-63.
    2. Albertin, Uwe K. & Morrison, Harry L., 1989. "Current algebras and liquid helium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(2), pages 188-220.

    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:eee:phsmap:v:80:y:1975:i:3:p:217-233. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.