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

Abstract

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 that they allow 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.

arXiv comment11 pages

References in corpus (6)

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• Lagrangians Galore
• Special Functions of Mathematical Physics: A Unified Lagrangian Formalism
• Varational Equations and Symmetries in the Lagrangian Formalism
• Lagrangian formalism and Lie group approach for commutative semigroup of differential equations
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Cited by in corpus (5)

• Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
• Nonstandard Null Lagrangians and Gauge Functions and Dissipative Forces in Dynamics
• Nonstandard Null Lagrangians and gauge Functions for Newtonian Law of Inertia
• New Role of Null Lagrangians in Derivation of Equations of Motion for Dynamical Systems
• General Null Lagrangians and Their Novel Role in Classical Dynamics