Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-04-25
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX2e, 7 pages, no figures
Scientific paper
In this paper, in the frame of Extended Electrodynamics (EED), we study some of the consequences that can be obtained from the introduced and used by Maxwell equations complex structure \mathcal{J} in the space of 2-forms on \mathbb{R}^4, and also used in EED. First we give the vacuum EED equations with some comments. Then we recall some facts about the invariance group $G$ (with Lie algebra \mathcal{G}) of the standard complex structure $J$ in \mathbb{R}^2. After defining and briefly studying a representation of $G$ in the space of 2-forms on \mathbb{R}^4 and the joint action of $G$ in the space of \mathcal{G}-valued 2-forms on \mathbb{R}^4 we consider its connection with the vacuum solutions of EED. Finally we consider the case with point dependent group parameters and show that the set of the nonlinear vacuum EED solutions is a disjoint union of orbits of the $G$-action, noting some similarities with the quantim mechanical eigen picture and with the QFT creation and anihilation operators.
Donev Stoil
Tashkova Maria
No associations
LandOfFree
On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Structure of the Nonlinear Vacuum Solutions in Extended Electrodynamics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-98739