Some studies on Lorentz transformation matrix in non-cartesian co-ordinate system

*Mukul Chandra Das  -  Satmile High School, India
Rampada Misra  -  Department of Physics, P.K.College, India
Received: 21 May 2019; Accepted: 13 Jun 2019; Published: 20 Jun 2019; Available online: 15 Jun 2019.
Open Access
Creative Commons License
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Citation Format:
Article Info
Section: Articles
Language: EN
Full Text:
Statistics: 122 70

Abstract
The Lorentz matrices for transformation of co-ordinates in Cartesian system are presented for the cases when the relative velocity between two reference frames is along X , Y and Z axes. The general form of the matrix for transformation of co-ordinates from unprimed to primed frame has been deduced in case of Cartesian co-ordinate system with the help of the above matrices. This matrix has not been transformed to the cases of cylindrical and spherical polar co-ordinates due to the fact that the calculations are cumbersome and lengthy. Hence, considering the relative velocity between two frames along a co-ordinate axis the transformation matrix has been found out for cylindrical and spherical co-ordinates.
Keywords
Theoretical Physics;frame of reference;system of co-ordinates

Article Metrics:

  1. Iyer C., Prabhu G.M. (2007),Lorentz Transformations with Arbitrary Line of Motion, European Journal of Physics, Vol. 28, p.183-190.
  2. Iyer C., Prabhu G.M. (2007), Composition of Two Lorenz Boosts through Spatial and Space-time Rotations, Journal of Physical and Natural Sciences, Vol. 1(2), p.1-8.
  3. Katz R. (1964), An Introduction to the Special Theory of Relativity, D. Van Nostrand, Princeton.
  4. Rodes J. A., Semon M. D. (2004), Relativistic Velocity Space, Wigner Rotation, and Thomas Precession, American Journal of Physics, Vol. 72(7), p.943-960.
  5. Das M. C., Misra R. (2018), Fundamental Tensor of Electromagnetic Field in the System of Photon, Annals of the University of Craiova Physics AUC, 28, p. 73-78
  6. Das M. C., Misra R. (2017), Harmonic Module of Electron and Its Space-Time Geometry, Journal of physical science, 22, p. 183-190
  7. Rosser W. G. V. (1964), An Introduction to the Theory of Relativity, Butterworth, London.
  8. Mickelsson J.,Ohlsson T., Snellman H. (2005), Relativity Theory, Royal Institute of Technology, Stockholm.
  9. Gupta B. D., Rajput B. S. (1969), Mathematical Physics, Pragati Prakashan, Meerut, India, p.799.