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

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

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 dynamic...

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Veröffentlicht in:Physics (Online) 2020-09, Vol.2 (3), p.425-435
Hauptverfasser: Musielak, Zdzislaw E., Vestal, Lesley C., Tran, Bao D., Watson, Timothy B.
Format: Artikel
Sprache:eng
Schlagworte:
classical mechanics
forces
gauge functions
Lagrangian formalism
null Lagrangians
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Zusammenfassung: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.
ISSN:2624-8174
2624-8174
DOI:10.3390/physics2030024