The centripetal force law and the equation of motion for a particle on a curved hypersurface

被引：8

作者：

Hu, L. D. ^{[1
]}

Lian, D. K. ^{[1
]}

Liu, Q. H. ^{[1
]}

机构：

[1] Hunan Univ, Sch Phys & Elect, Sch Theoret Phys, Changsha 410082, Hunan, Peoples R China

来源：

EUROPEAN PHYSICAL JOURNAL C | 2016年 / 76卷 / 12期

基金：

中国国家自然科学基金;

关键词：

CONSTRAINED SYSTEMS; QUANTUM-MECHANICS; SPACE; QUANTIZATION; SURFACES; GEOMETRY;

D O I：

10.1140/epjc/s10052-016-4473-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

It is pointed out that the current form of the extrinsic equation of motion for a particle constrained to remain on a hypersurface is in fact a half-finished version; for it is established without regard to the fact that the particle can never depart from the geodesics on the surface. Once this fact is taken into consideration, the equation takes the same form as that for the centripetal force law, provided that the symbols are re-interpreted so that the law is applicable for higher dimensions. The controversial issue of constructing operator forms of these equations is addressed, and our studies show the quantization of constrained system based on the extrinsic equation of motion is preferable.

引用

页数：4

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