Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find




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

Journal of Siberian Federal University. Mathematics & Physics, 2020, Volume 13, Issue 1, Pages 58–70
DOI: https://doi.org/10.17516/1997-1397-20-13-1-58-70 (Mi jsfu818) 		 
Berry phase for time-dependent coupled harmonic oscillators in the noncommutative phase space via path integral techniques

Leila Khiaria, Tahar Boudjedaab, Abdenacer Makhloufc, Mohammed Tayeb Meftaha

a LRPPS, University Kasdi Merbah, Ouargla, Algeria
b University of Jijel, Jijel, Algeria
c University of Haute Alsace, Mulhouse, France
Full-text PDF (130 kB)
References:
PDF
HTML
DOI: https://doi.org/10.17516/1997-1397-20-13-1-58-70
Abstract: The purpose of this paper is the description of Berry's phase, in the Euclidean Path Integral formalism, for 2D quadratic system: two time dependent coupled harmonic oscillators. This treatment is achieved by using the adiabatic approximation in the commutative and noncommutative phase space.
Keywords: Berry's phase, noncommutative phase space, coupled oscillators.
Received: 08.05.2019
Received in revised form: 15.10.2019
Accepted: 25.12.2019
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: English
Citation: Leila Khiari, Tahar Boudjedaa, Abdenacer Makhlouf, Mohammed Tayeb Meftah, “Berry phase for time-dependent coupled harmonic oscillators in the noncommutative phase space via path integral techniques”, J. Sib. Fed. Univ. Math. Phys., 13:1 (2020), 58–70
Citation in format AMSBIB
\Bibitem{KhiBouMak20}
\by Leila~Khiari, Tahar~Boudjedaa, Abdenacer~Makhlouf, Mohammed~Tayeb~Meftah
\paper Berry phase for time-dependent coupled harmonic oscillators in the noncommutative phase space via path integral techniques
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2020
\vol 13
\issue 1
\pages 58--70
\mathnet{http://mi.mathnet.ru/jsfu818}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514843200005}
Linking options:
  • https://www.mathnet.ru/eng/jsfu818
  • https://www.mathnet.ru/eng/jsfu/v13/i1/p58
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025