CASIMIR EFFECT FOR SOFT BOUNDARIES

被引：42

作者：

ACTOR, AA ^{[1
]}

BENDER, I ^{[1
]}

机构：

[1] UNIV HEIDELBERG, INST HOCHENERGIEPHYS, D-69120 HEIDELBERG, GERMANY

来源：

PHYSICAL REVIEW D | 1995年 / 52卷 / 06期

关键词：

D O I：

10.1103/PhysRevD.52.3581

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

In quantum field theory with confining ''hard'' (e.g., Dirichlet) boundaries, the latter are represented in the Schrodinger equation defining spatial quantum modes by infinite step-function potentials. One can instead introduce confining ''soft'' boundaries, represented in the mode equation by some smoothly increasing potential function. Here the global Casimir energy is calculated for a scalar field confined by harmonic-oscillator (HO) potentials in one, two, and three dimensions. Combinations of HO and Dirichlet boundaries are also considered. Some results differ in sign from comparable hard-wall ones.

引用

页码：3581 / 3590

页数：10

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