Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques

Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of Siberian Federal University. Mathematics & Physics 2020-01, Vol.13 (1), p.58-70
Hauptverfasser: Khiari, Leila, Boudjedaa, Tahar, Makhlouf, Abdenacer, Meftah, Mohammed Tayeb
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Commuting
Euclidean space
Geometry
Harmonic oscillators
Integrals
Oscillators
Quantum physics
Spacetime
Time dependence
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1997-1397
2313-6022
DOI:10.17516/1997-1397-20-13-1-58-70