Zeta function determinant of the laplace operator on the D-dimensional ball

被引：80

作者：

Bordag, M

Geyer, B

Kirsten, K

Elizalde, E

机构：

[1] CSIC,CEAB,E-17300 BLANES,SPAIN

[2] UNIV BARCELONA,FAC FIS,DEPT ESTRUCTURA & CONSTITUENTS MAT,E-08028 BARCELONA,SPAIN

[3] UNIV BARCELONA,FAC FIS,IFAE,E-08028 BARCELONA,SPAIN

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 179卷 / 01期

关键词：

D O I：

10.1007/BF02103720

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a direct approach for the calculation of functional determinants of the Laplace operator on balls. Dirichlet and Robin boundary conditions are considered. Using this approach, formulas for any value of the dimension, D, of the ball, can be obtained quite easily. Explicit results are presented here for dimensions D = 2, 3, 4, 5 and 6.

引用

页码：215 / 234

页数：20

共 45 条

[1]

ABRAMOWITZ M, 1972, NBS APPLIED MATH SER, V55

[2]

[Anonymous], 1990, INT J MATH MATH SCI

[3] ONE-LOOP QUANTUM COSMOLOGY - ZETA-FUNCTION TECHNIQUE FOR THE HARTLE-HAWKING WAVE-FUNCTION OF THE UNIVERSE [J].