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Ermakov-Pinney equation for time-varying mass systems

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, , Citation Bijan Bagchi and Achal Vinod 2021 J. Phys.: Conf. Ser. 2038 012002 DOI 10.1088/1742-6596/2038/1/012002

1742-6596/2038/1/012002

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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10.1088/1742-6596/2038/1/012002