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

Mukul Chandra Das | Zendy; Rampada Misra | Zendy

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Some 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.

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