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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
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
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
Linking options:
https://www.mathnet.ru/eng/jsfu818 https://www.mathnet.ru/eng/jsfu/v13/i1/p58
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