Open AccessSome studies on Lorentz transformation matrix in non-cartesian co-ordinate system
Author(s) -
Mukul Chandra Das,
Rampada Misra
Publication year - 2019
Publication title -
journal of physics and its applications
Language(s) - English
Resource type - Journals
ISSN - 2622-5956
DOI - 10.14710/jpa.v1i2.4951
Subject(s) - ordinate , cartesian coordinate system , lorentz transformation , transformation (genetics) , matrix (chemical analysis) , mathematics , geometry , transformation matrix , moving frame , reference frame , physics , mathematical analysis , frame (networking) , classical mechanics , chemistry , computer science , telecommunications , biochemistry , kinematics , gene , chromatography
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.