VECTOR-FIELDS ON A DISK WITH MIXED BOUNDARY-CONDITIONS

被引：48

作者：

VASSILEVICH, DV

机构：

[1] Department of Theoretical Physics, St. Petersburg University

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1995年 / 36卷 / 06期

关键词：

D O I：

10.1063/1.531021

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Vector fields on a disk satisfying two types of boundary conditions are studied. These boundary conditions are selected by BRST-invariance in electrodynamics. They also appear in the de Rham complex. The construction of the harmonic expansion is presented. The eigenfunctions of the vector Laplace operator are expressed in terms of fields satisfying pure Dirichlet or Robin boundary conditions. For the case of four-dimensional disk several first coefficients of the heat kernel expansion are computed. An error in the analytical expression by Branson and Gilkey is corrected. © 1995 American Institute of Physics.

引用

页码：3174 / 3182

页数：9

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