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

Md. Tarek Hossain

doi:https://doi.org/10.14445/23500301/IJAP-V5I3P106

Research Article | Open Access

Volume 5 | Issue 3 | Year 2018 | Article Id. IJAP-V5I3P106 | DOI : https://doi.org/10.14445/23500301/IJAP-V5I3P106

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

Md. Tarek Hossain, Md. Shah Alam

Citation :

Md. Tarek Hossain, Md. Shah Alam, "Inner Relationship among Rapidity, Velocity and Geometric Approach to the Wigner Rotation," 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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