Finite geometries and diffractive orbits in isospectral billiards

被引：8

作者：

Giraud, O ^{[1
]}

机构：

[1] Univ Toulouse 3, Phys Theor Lab, CNRS, UMR 5152, F-31062 Toulouse, France

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2005年 / 38卷 / 27期

关键词：

D O I：

10.1088/0305-4470/38/27/L01

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Several examples of pairs of isospectral planar domains have been produced in the two-dimensional Euclidean space by various methods. We show that all these examples rely on-the symmetry between points and blocks in finite projective spaces; from the properties of these spaces, one can derive a relation between Green's functions as well as a relation between diffractive orbits in isospectral billiards.

引用

页码：L477 / L483

页数：7

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