台球在魏尔展开式中的非周期轨道和。
Nonperiodic orbit sums in Weyl's expansion for billiards.
作者信息
Zheng W M
机构信息
Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China.
出版信息
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1999 Sep;60(3):2845-50. doi: 10.1103/physreve.60.2845.
PMID:11970089
Abstract
Weyl's expansion for the asymptotic mode density of billiards consists of the area, length, curvature, and corner terms. The area term has been associated with the so-called zero-length orbits. Here, closed nonperiodic paths corresponding to the length and corner terms are constructed.
摘要
魏尔（Weyl）对台球渐近模式密度的展开式由面积项、长度项、曲率项和角项组成。面积项与所谓的零长度轨道相关联。在此，构建了与长度项和角项相对应的封闭非周期路径。
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