Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2010, Volume 6, 060, 26 pp.
DOI: https://doi.org/10.3842/SIGMA.2010.060 (Mi sigma517) 		 
This article is cited in 43 scientific papers (total in 43 papers)

Exotic Galilean Symmetry and Non-Commutative Mechanics

Peter A. Horváthya, Luigi Martinabc, Peter C. Sticheld

a Laboratoire de Mathématiques et de Physique Théorique, Universit é de Tours, Parc de Grandmont, F-37200 Tours, France
b Sezione INFN di Lecce, via Arnesano, CP. 193, I-73100 Lecce, Italy
c Dipartimento di Fisica – Università del Salento
d An der Krebskuhle 21 D-33 619 Bielefeld, Germany
Full-text PDF (421 kB) Citations (43)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2010.060
Abstract: Some aspects of the “exotic” particle, associated with the two-parameter central extension of the planar Galilei group are reviewed. A fundamental property is that it has non-commuting position coordinates. Other and generalized non-commutative models are also discussed. Minimal as well as anomalous coupling to an external electromagnetic field is presented. Supersymmetric extension is also considered. Exotic Galilean symmetry is also found in Moyal field theory. Similar equations arise for a semiclassical Bloch electron, used to explain the anomalous/spin/optical Hall effects.
Keywords: noncommutative spaces; Galilean symmetry; dynamical systems; quantum field theory.
Received: March 23, 2010; in final form July 19, 2010; Published online July 26, 2010
Bibliographic databases:
Document Type: Article
MSC: 46L55; 37K65; 37L20; 83C65; 81T70
Language: English
Citation: Peter A. Horváthy, Luigi Martina, Peter C. Stichel, “Exotic Galilean Symmetry and Non-Commutative Mechanics”, SIGMA, 6 (2010), 060, 26 pp.
Citation in format AMSBIB
\Bibitem{HorMarSti10}
\by Peter A.~Horv\'athy, Luigi Martina, Peter C.~Stichel
\paper Exotic Galilean Symmetry and Non-Commutative Mechanics
\jour SIGMA
\yr 2010
\vol 6
\papernumber 060
\totalpages 26
\mathnet{http://mi.mathnet.ru/sigma517}
\crossref{https://doi.org/10.3842/SIGMA.2010.060}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2725023}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000280763100006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84896062345}
Linking options:
  • https://www.mathnet.ru/eng/sigma517
  • https://www.mathnet.ru/eng/sigma/v6/p60
    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:440
    Full-text PDF :54
    References:55
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024