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
收藏
页码:L659 / L666
页数:8
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