Isospectral circular membranes

被引:9
作者
Gottlieb, HPW [1 ]
机构
[1] Griffith Univ, Sch Sci, Nathan, Qld 4111, Australia
关键词
D O I
10.1088/0266-5611/20/1/009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A prescription for finding the densities of circular membranes which are isospectral to a uniform circular membrane is extended to cover isospectrality to any circular membrane density, thereby also revealing the underlying group-theoretical structure which is further elucidated. Membranes isospectral to radial-density membranes no longer possess the radial symmetry, and some examples are discussed.
引用
收藏
页码:155 / 161
页数:7
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