Intrinsic geometry of curves and the Lorentz equation

被引：19

作者：

Caltenco, JH ^{[1
]}

Linares, R ^{[1
]}

López-Bonilla, JL ^{[1
]}

机构：

[1] Inst Politecn Nacl, Secc Estudios Posgrad & Invest, Escuela Super Ingn Mecan & Elect, Mexico City 07738, DF, Mexico

来源：

CZECHOSLOVAK JOURNAL OF PHYSICS | 2002年 / 52卷 / 07期

关键词：

Lorentz equation; Frenet-Serret formulae; world lines of classical charged particles;

D O I：

10.1023/A:1016213425415

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that the trajectory of a point charge in a uniform electromagnetic field is a helix if the Lorentz equation governs its motion. Our approach is totally relativistic, and it is based on the use of the Frenet-Serret formulae which describe the intrinsic geometry of world lines in Minkowski spacetime.

引用

页码：839 / 842

页数：4

共 20 条

[1] ELECTRON SPIN AND RADIATIVE REACTION [J].