2002/04/25 by Stoil Donev, Donev, Stoil, Maria Tashkova +1
Engineering · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geophysics and Sensor Technology #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum and Classical Electrodynamics #hep-th #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.hep-th/0204217
LaTeX2e, 7 pages, no figures
arxiv created 2002/04/25 · openalex publication_date 2002/04/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 J in the space of 2-forms on ℝ4, 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 G) of the standard complex structure J in ℝ2. After defining and briefly studying a representation of G in the space of 2-forms on ℝ4 and the joint action of G in the space of G-valued 2-forms on ℝ4 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.