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.
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Language: EN
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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.
Theoretical Physics;frame of reference;system of co-ordinates

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