两自由度可积系统的量子回复:环面情形
Quantum revivals in two degrees of freedom integrable systems : the torus case
摘要:
本文研究了在Liouville正则环面附近具有两个自由度的半经典完全可积系统的量子动力学的半经典行为。本文论证了波包回复现象。本文的框架是半经典分析(极限:)。对于证明,我们使用标准的工具,实分析,傅里叶分析和基本的解析数论。
英文摘要:
The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wave packet revivals is demonstrated in this article. The framework of this paper is semi-classical analysis (limit :). For the proofs we use standard tools of real analysis, Fourier analysis and basic analytic number theory.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。