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.
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页码：425 / 435
页数：11
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