Volume Charge Density in Geometric Product Lorentz Transformation

Authors

  • Md. Ashraful Alam Department of Mechanical Engineering, University of Creative Technology, Chittagong, Chattogram-4212, Bangladesh
    • Atikur Rahman Baizid Department of Related Subjects, Barisal Engineering College, Barishal-8200, Bangladesh

      DOI:

      https://doi.org/10.38032/jea.2021.04.007

      Keywords:

      Lorentz Transformation (LT), Special Lorentz Transformation (SLT), Geometric Product Lorentz Transformation (GPLT), Volume Charge Density (VCD)

      Abstract

      Lorentz Transformation is the relationship between two different coordinate frames time and space when one inertial reference frame is relative to another inertial reference frame with traveling at relative speed. In this paper, we have derived the transformation formula for the volume charge density in Geometric Product Lorentz Transformation. The changes of volume charge density of moving frame in terms of that rest frame in Geometric Product Lorentz Transformation at various velocities and angles were studied as well.

      References

      Resnick, R., 1994. Introduction to Special Relativity. John Wiley & Sons, USA, ISBN: 978-0-471-71725-6.

      Bhuiyan, S.A. and Baizid, A.R., 2016. Volume Charge Density in Most General Lorentz Transformation. Journal of Scientific Research, 8(3), pp.259-265. DOI: https://doi.org/10.3329/jsr.v8i3.27133

      Bhuiyan, S.A. and Baizid, A.R., 2015. Surface Charge Density in Different Types of Lorentz Transformations. Applied Mathematics, 5(3), pp.57-67.

      Bhuiyan, S.A., 2019. Volume Charge Density in Mixed Number Lorentz Transformation. Journal of Scientific Research, 11(2), pp.209-214. DOI: https://doi.org/10.3329/jsr.v11i2.39632

      Moller, C., 1972. The Theory of Relativity. Oxford University Press, London, UK.

      Prakash, S., 1993-1994. Relativistic Mechanics. Pragati Prakashan.

      Baizid, A.R. and Alam, M.S., 2012. Applications of different Types of Lorenz Transformations. American Journal of Mathematics and Statistics, 2(5), pp.153-163. DOI: https://doi.org/10.5923/j.ajms.20120205.08

      Rafiq, S.B. and Alam, M.S., 2012. Transformation of Surface Charge Density in Mixed Number Lorentz Transformation. Sri Lankan Journal of Physics, 13(1), pp.17-25. DOI: https://doi.org/10.4038/sljp.v13i1.3546

      Baizid, A. and Alam, M., 2014. Reciprocal Property of Different Types of Lorentz Transformations. International Journal of Reciprocal Symmetry and Theoretical Physics, 1(1), pp.19-35. DOI: https://doi.org/10.15590/ijrstp/2014/v1i1/53721

      Datta, B.K., De Sabbata, V. and Ronchetti, L., 1998. Quantization of gravity in real space-time. Nuovo Cimento. B, 113(6), pp.711-732.

      Datta, B.K., Datta, R. and De Sabbata, V., 1998. Einstein field equations in spinor formalism: a clifford-algebra approach. Foundations of Physics letters, 11(1), pp.83-93. DOI: https://doi.org/10.1023/A:1022458904447

      Alam, M.S., Begum, K., 2009. Different Types of Lorentz Transformations, Jahangirnagar Phy. Stud. 15.

      Downloads

      Published

      26-12-2021

      Issue

      Section

      Research Articles

      How to Cite

      Md. Ashraful Alam and Atikur Rahman Baizid (2021) “Volume Charge Density in Geometric Product Lorentz Transformation”, Journal of Engineering Advancements, 2(04), pp. 217–220. doi:10.38032/jea.2021.04.007.