QUANTUM-MECHANICS OF RELATIVISTIC-PARTICLES IN MULTIPLY CONNECTED SPACES AND THE AHARONOV-BOHM EFFECT

被引：8

作者：

GAMBOA, J ^{[1
]}

RIVELLES, VO ^{[1
]}

机构：

[1] UNIV SAO PAULO,INST FIS,BR-01498 SAO PAULO,BRAZIL

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 12期

关键词：

D O I：

10.1088/0305-4470/24/12/001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the motion of free relativistic particles in multiply connected spaces. We show that if one of the spatial dimensions has the topology of a circle then the D-dimensional spacetime is compactified to D-1 dimensions and the particle mass increases by an amount which is proportional to a quantum phase factor and inversely proportional to the radius of the circle. This provides a new non-perturbative mechanism of mass generation. We also consider the relativistic Aharanov-Bohm effect and we show that the propagator is similar in form to the non-relativistic one. The propagators are calculated without any approximation in both situations.

引用

页码：L659 / L666

页数：8