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arXiv · 2103.10662

Ermakov-Pinney equation for time-varying mass systems

Bijan Bagchi·Achal Vinod
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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.

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Bijan Bagchi, Achal Vinod. 2021-03-19. Ermakov-Pinney equation for time-varying mass systems. https://arxiv.org/abs/2103.10662

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