Inner Relationship among Rapidity, Velocity and Geometric Approach to the Wigner Rotation

International Journal of Applied Physics

© 2018 by SSRG - IJAP Journal

Volume 5 Issue 3

Year of Publication : 2018

Authors : Md. Tarek Hossain, Md. Shah Alam

10.14445/23500301/IJAP-V5I3P106

How to Cite?

Md. Tarek Hossain, Md. Shah Alam, "Inner Relationship among Rapidity, Velocity and Geometric Approach to the Wigner Rotation," SSRG International Journal of Applied Physics, vol. 5,  no. 3, pp. 33-38, 2018. Crossref, https://doi.org/10.14445/23500301/IJAP-V5I3P106

Abstract:

Rapidity is a hyperbolic angle that differentiates two frames of reference in relative motion. We demonstrate how this space can be calculated to get various effects resulting from the successive application of non-collinear Lorentz boosts and the relativistic addition of non-collinear velocities. We are going to observe the relation between rapidity and velocity of a moving particle. It has been explained how rapidity space provides a geometric approach to the Wigner rotation and the Thomas precession. We have also explained that Thomas-Wigner rotation occurs due to boost angle θ and velocity.

Keywords:

Hyperbolic Angle, Rapidity, Lorentz Transformation, Wigner Rotation.

References:

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