L. Khiari, T. Boudjedaa, A. Makhlouf, M. Meftah, Лейла Хиари, Тахар Буджедаа, Абденасер Махлуф, Мохамед Таеб Мефта
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Berry Phase for Time-Dependent Coupled Harmonic Oscillators in the Noncommutative Phase Space via Path Integral Techniques
The classical geometry is based on the duality between the geometry and the commutative algebra. In commutative algebra, the product of two algebraic quantities is independent from the order. In Quantum Mechanics, following Heisenberg’s viewpoint, the geometry of the states space describing a microscopic system, an atom for example, has a new property such as the momentum and the position are non-commuting operators [1–7]:
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