IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v137y1986i1p282-294.html
   My bibliography  Save this article

Nonlinear σ-models with noncompact symmetry group in the theory of a nearly ideal bose gas

Author

Listed:
  • Pashaev, O.K.
  • Sergeenkov, S.A.

Abstract

A classical version of the Heisenberg spin model on the noncompact SU(1,1)/U(1) manifold is constructed which is gauge equivalent to the NLSE. It is found that the gauge transformations generated by the Jost solutions to the NLSE linear problem allows one to obtain solutions of the appropriate σ-model. Spin-wave and soliton solutions and related energy, momentum and magnetization integrals are found. The spin-waves describe a precession motion on the pseudo-sphere S1,1 with the Bogolubov frequency, and the soliton solution describes a deviation from the precession motion plane. The soliton excitation spectrum when condensate density vanishes is reduced to that of the O(3) Heisenberg ferromagnet. In the case of unlimited length of the magnetization vector the first one gives rise to the hole excitation spectrum of an antiferromagnet, and magnetizations related to the upper and lower sheets of the hyperboloid compensate each other.

Suggested Citation

  • Pashaev, O.K. & Sergeenkov, S.A., 1986. "Nonlinear σ-models with noncompact symmetry group in the theory of a nearly ideal bose gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 282-294.
    • Handle: RePEc:eee:phsmap:v:137:y:1986:i:1:p:282-294
    DOI: 10.1016/0378-4371(86)90076-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437186900762
    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(86)90076-2?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.

    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:137:y:1986:i:1:p:282-294. 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.