Generalization of the Lorentz Transformation of the Electromagnetic Four-potential and Concerns About Electrostatic Shielding

Toshiki Sugiyama

Abstract

This paper is about generalizing the formula for the Lorentz transformation of the electromagnetic four-potential. In the conventional Lorentz transformation method, the X, Y, or Z coordinate axis is determined as the direction of motion of system S’  relative to system S. Then, a four-vector is transformed using a transformation matrix that matches the direction of motion of the system  [1][2].  If the system S’  moves in an arbitrary direction, it is possible to determine each component of the matrix by rotating the coordinate axes, but this process is complicated [3]. In this paper, a transformation formula is presented that allows the electromagnetic four-potential to be easily transformed into a Lorentz transform even if the direction of motion of the system S’ is arbitrary. In the Discussion, new problems in electrostatic shielding were presented by discussing the motion of charged particles using the compact transformation equation.

Keywords

Lorentz transform; electromagnetic four-potential; constant potential field; electrostatic shielding.

Cite This Article

Sugiyama, T. (2024). Generalization of the Lorentz Transformation of the Electromagnetic Four-potential and Concerns About Electrostatic Shielding. International Journal of Scientific Advances (IJSCIA), Volume 5| Issue 6: Nov-Dec 2024, Pages 1153-1156, URL: https://www.ijscia.com/wp-content/uploads/2024/11/Volume5-Issue6-Nov-Dec-No.701-1153-1156.pdf

Volume 5 | Issue 6: Nov – Dec 2024