Geometric Phase and Classical-Quantum Correspondence

Details Geometric Phase and Classical-Quantum Correspondence Geometric Phase and Classical-Quantum Correspondence

2004-03-05

arxiv.org/abs/nlin/0403008v1

Nonlinear Sciences

Chaotic Dynamics

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Scientific paper

We study the geometric phase factors underlying the classical and the corresponding quantum dynamics of a driven nonlinear oscillator exhibiting chaotic dynamics. For the classical problem, we compute the geometric phase factors associated with the phase space trajectories using Frenet-Serret formulation. For the corresponding quantum problem, the geometric phase associated with the time evolution of the wave function is computed. Our studies suggest that the classical geometric phase may be related to the the difference in the quantum geometric phases between two neighboring eigenstates.

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