Velocity distributions from relativistic boosts in one dimension

Authors

  • Enrico Villacorta ⋅ PH National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

Three methods are proposed for solving velocity distributions resulting from repeated relativistic velocity additions. In contrast to the usual situation where the velocities involved are definitely determined, we consider velocities coming from a distribution. Starting from velocity distributions corresponding to Gaussian and uniform rapidity distributions, we obtain explicit expressions for velocity distributions after N relativistic boosts, where N is any positive integer. The velocity distribution plots for the Gaussian case show a transition from a single peak profile (with a maximum at velocity zero) to a double peak profile.

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Issue

Celebrating new ideas in physics
24-26 October 2011, University of the Philippines Diliman, Quezon City

Article ID

SPP2011-PB-35

Section

Poster Session PB

Published

2011-10-24

How to Cite

[1]
E Villacorta and JP Esguerra, Velocity distributions from relativistic boosts in one dimension, Proceedings of the Samahang Pisika ng Pilipinas 29, SPP2011-PB-35 (2011). URL: https://proceedings.spp-online.org/article/view/SPP2011-PB-35.