Ermakov-Pinney equation for time-varying mass systems
Quantum Physics
2021-11-23 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We extend Fring-Tenney approach of constructing invariants of constant mass time-dependent system to the case of a time-dependent mass particle. From a coupled set of equations described in terms of guiding parameter functions, we track down a modified Ermakov-Pinney equation involving a time-dependent mass function. As a concrete example we focus on an exponential choice of the mass function.
Cite
@article{arxiv.2103.10662,
title = {Ermakov-Pinney equation for time-varying mass systems},
author = {Bijan Bagchi and Achal Vinod},
journal= {arXiv preprint arXiv:2103.10662},
year = {2021}
}
Comments
To appear in the Journal of Physics: Conference Section (IOP Publishing), 8 pages and 1 figure