Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems

被引：6

作者：

Musielak, Zdzislaw E. ^{[1
]}

Vestal, Lesley C. ^{[1
]}

Tran, Bao D. ^{[1
]}

Watson, Timothy B. ^{[1
]}

机构：

[1] Univ Texas Arlington, Dept Phys, POB 19059, Arlington, TX 76019 USA

来源：

PHYSICS | 2020年 / 2卷 / 03期

关键词：

Lagrangian formalism; null Lagrangians; gauge functions; forces; classical mechanics; CARTAN FORM; EQUATIONS;

D O I：

10.3390/physics2030024

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a driven one. This is a novel phenomenon in dynamics that resembles the role of gauges in quantum field theories.

引用

页码：425 / 435

页数：11

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