Abstract
THE equation of motion of the relativistic oscillator (without damping): has been solved in terms of elliptic functions1. The result shows the frequency to decrease with the total energy, but does not make explicit how it is related to the amplitude of oscillation. A formula which is more amenable to experimental test is obtained when we approximate the original equation by: It is found, then, that the frequency shows a red-shift: where A is the amplitude of oscillation. This result agrees with that derived by another method2.
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Struble, R. A., and Harris, T. C., Math. Phys., 5, 138 (1964).
George, T. V., et al., Phys. Rev. Letters, 11, 403 (1963).
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HUTTEN, E. Relativistic (Non-Linear) Oscillator. Nature 205, 892 (1965). https://doi.org/10.1038/205892a0
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DOI: https://doi.org/10.1038/205892a0
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