对称相空间中台球系统的几何与动力学
混沌动力学
2007-05-23 v1
摘要
本文以具有对称相空间的几何新途径考察统计物理中的台球问题。定义了典型台球相图的构造与拓扑特征。建立了光滑台球的几何、动力学与统计性质之间的联系。指出了该理论进一步发展的其他方向。
引用
@article{arxiv.nlin/0202002,
title = {Geometry and dynamics of billiards in symmetric phase space},
author = {Sergey V. Naydenov and Vladimir V. Yanovsky},
journal= {arXiv preprint arXiv:nlin/0202002},
year = {2007}
}
备注
8 pages LaTeX2e, 1 eps figure; Paper presented at the International Conference dedicated to the 90th anniversary of A.I. Akhiezer (QEDSP 2001), October 30 - November 3, 2001, Kharkov, Ukraine