A suitable parameterization of space-time in terms of one complex and three
quaternionic imaginary units allows Lorentz transformations to be implemented
as multiplication by complex-quaternionic numbers rather than matrices.
Maxwell's equations reduce to a single equation.
Publié le : 2003-09-30
Classification:
Mathematical Physics,
Condensed Matter - Other Condensed Matter,
High Energy Physics - Theory,
Physics - Physics Education
@article{0309061,
author = {Greiter, Martin and Schuricht, Dirk},
title = {Imaginary in all directions: an elegant formulation of special
relativity and classical electrodynamics},
journal = {arXiv},
volume = {2003},
number = {0},
year = {2003},
language = {en},
url = {http://dml.mathdoc.fr/item/0309061}
}
Greiter, Martin; Schuricht, Dirk. Imaginary in all directions: an elegant formulation of special
relativity and classical electrodynamics. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0309061/