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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
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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}
\crossref{https://doi.org/10.17516/1997-1397-20-13-1-58-70}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000514843200005}
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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