FURTHER FUNCTIONAL DETERMINANTS

被引:24
作者
DOWKER, JS
APPS, JS
机构
[1] Department of Theoretical Physics, University of Manchester, Manchester
关键词
D O I
10.1088/0264-9381/12/6/005
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Functional determinants for the scalar Laplacian on spherical caps and slices, flat balls, shells and generalized cylinders are evaluated in two, three and four dimensions using conformal techniques. Both Dirichlet and Robin boundary conditions are allowed for. Some effects of non-smooth boundaries are discussed; in particular, the 3-hemiball and the 3-hemishell are considered. The edge and vertex contributions to the C-3/2 coefficient are examined.
引用
收藏
页码:1363 / 1383
页数:21
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