Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions
Classical Physics
2021-06-15 v3
Abstract
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 is presented. For the null Lagrangians, corresponding gauge functions are obtained. It is shown that the gauge functions can be used to convert the undriven Bateman oscillators into the driven ones. Applications of the obtained results to quantizatation of the Bateman oscillators are briefly discussed.
Keywords
Cite
@article{arxiv.2011.11392,
title = {Bateman Oscillators: Caldirola-Kanai and Null Lagrangians and Gauge Functions},
author = {L. C. Vestal and Z. E. Musielak},
journal= {arXiv preprint arXiv:2011.11392},
year = {2021}
}
Comments
10 pages