Geometric Phase and Classical-Quantum Correspondence
摘要
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.
引用
@article{arxiv.nlin/0403008,
title = {Geometric Phase and Classical-Quantum Correspondence},
author = {Indubala I. Satija and Radha Balakrishnan},
journal= {arXiv preprint arXiv:nlin/0403008},
year = {2007}
}
备注
Copy with higher resolution figures can be obtained from http://physics.gmu.edu/~isatija by clicking on publications. to appear in the Yukawa Institute conference proceedings, {\it Quantum Mechanics and Chaos: From Fundamental Problems through Nano-Science} (2003)