The one-dimensional Coulomb oscillator


  • Vladimir Valerievich Ivchenko Kherson State Maritime Academy



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


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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How to Cite

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