The one-dimensional Coulomb oscillator

Authors

  • Vladimir Valerievich Ivchenko Kherson State Maritime Academy

DOI:

https://doi.org/10.31349/RevMexFisE.20.010213

Keywords:

One-dimensional oscillations; Coulomb force; genuine nonlinear oscillations; oscillation period

Abstract

We consider the one-dimensional oscillations of a charged point particle under the restoring Coulomb force. We find that, for very small amplitudes, the speed of the particle remains almost constant. We also obtain the exact analytical expression for finding the oscillation period. It turns out to be a monotonically increasing function of the amplitude. For small amplitudes, this quantity is directly proportional to the amplitude itself.

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Published

2023-01-13

How to Cite

[1]
V. V. Ivchenko, “The one-dimensional Coulomb oscillator”, Rev. Mex. Fis. E, vol. 20, no. 1 Jan-Jun, pp. 010213 1–, Jan. 2023.

Issue

Vol. 20 No. 1 Jan-Jun (2023): Revista Mexicana de Física E

Section

02 Education in Physics

License

Copyright (c) 2023 Vladimir Valerievich Ivchenko

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Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.