Vacuum expectation value asymptotics for second order differential operators on manifolds with boundary

被引：31

作者：

Branson, TP ^{[1
]}

Gilkey, PB

Vassilevich, DV

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA

[3] St Petersburg State Univ, Dept Theoret Phys, St Petersburg 198904, Russia

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 02期

关键词：

D O I：

10.1063/1.532369

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Let M be a compact Riemannian manifold with smooth boundary. We study the vacuum expectation value of an operator Q by studying Tr(L)2Qe(-tD), where D is an operator of Laplace type on M, and where Q is a second order operator with scalar leading symbol, we impose Dirichlet or modified Neumann boundary conditions. (C) 1998 American Institute of Physics. [S0022-2488(98)03102-8].

引用

页码：1040 / 1049

页数：10

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