10 citations · 26 across the 5 of their papers we have counts for
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physics.class-ph2020★ 10 cited
Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
L. C. Vestal, Z. E. Musielak
The Lagrange formalism is developed for Bateman oscillators, which include both damped and amplified systems, and a novel method to derive the Caldirola-Kanai and null Lagrangians…
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…