Abstract
The derivation of the functional form of the relativistic momentum of a particle has a history going back to Lewis and Tolman's paper of 1909, yet satisfactory presentations seem to be few in number. Careful examination of the several types of derivation shows that their shortcomings are avoidable and allows the presentation of exact and improved analyses.
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References
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Kennedy, W.L. The momentum conservation law in special relativity. Found Phys Lett 1, 277–286 (1988). https://doi.org/10.1007/BF00690068
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DOI: https://doi.org/10.1007/BF00690068