On Quantum - Classical Correspondence for Baker's Map
量子物理
2007-05-23 v1 高能物理 - 理论
数学物理
math.MP
摘要
Quantum baker`s map is a model of chaotic system. We study quantum dynamics for the quantum baker's map. We use the Schack and Caves symbolic description of the quantum baker`s map. We find an exact expression for the expectation value of the time dependent position operator. A relation between quantum and classical trajectories is investigated. Breakdown of the quantum-classical correspondence at the logarithmic timescale is rigorously established.
引用
@article{arxiv.quant-ph/0108107,
title = {On Quantum - Classical Correspondence for Baker's Map},
author = {K. Inoue and M. Ohya and I. V. Volovich},
journal= {arXiv preprint arXiv:quant-ph/0108107},
year = {2007}
}
备注
13 pages