17 citations · 32 across the 6 of their papers we have counts for
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math-ph2020★ 7 cited
Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Z. E. Musielak, L. C. Vestal, B. D. Tran +1
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 energ…
math-ph2020
General null Lagrangians, exact gauge functions and forces in Newtonian mechanics
Zdzislaw E. Musielak, Timothy B. Watson
A method to construct general null Lagrangians and their exact gauge functions is developed. The functions are used to define classical forces independently from Newtonian dynamics…
math-ph2020★ 17 cited
Gauge Functions and Galilean Invariance of Lagrangians
Z. E. Musielak, T. B. Watson
A novel method to make Lagrangians Galilean invariant is developed. The method, based on null Lagrangians and their gauge functions, is used to demonstrate the Galilean invariance…