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How to Describe Photons as (3+1)-Solitons? | | S. Donev
; D. Trifonov
; | | Date: |
7 Dec 1998 | | Journal: | Aspects of Complex Analysis, Differential Geometry, Mathematical Physics and Applications, p. 246-61, Eds: S. Dimiev and K. Sekigawa, W. Scientific, 1999 | | Subject: | Optics; Atomic Physics; Pattern Formation and Solitons | physics.optics hep-th nlin.PS patt-sol physics.atom-ph quant-ph | | Affiliation: | Institute for Nuclear Research, Sofia | | Abstract: | This paper aims to present the pure field part of the newly developed nonlinear {it Extended Electrodynamics} [1]-[3] in non-relativistic terms, i.e. in terms of the electric and magnetic vector fields (${mathbf E},{mathbf B}$), and to give explicitly those (3+1)-soliton solutions of the new equations which have the integral properties of photons. The set of solutions to the new equations contains all solutions to Maxwell’s equations as a subclass, as well as, new solutions, called nonlinear. The important characteristics {it scale factor}, {it amplitude function}, and {it phase function} of a nonlinear solution are defined in a coordinate free way and effectively used. The nonlinear solutions are identified through the non-zero values of two appropriately defined vector fields $vec{cal F}$ and $vec{cal M}$, as well as, through the finite values of the corresponding scale factors. The intrinsic angular momentum (spin) is also defined. A limited superposition principle (interference of nonlinear solutions), yielding the well known classical {it coherence} conditions, is found to exist. | | Source: | arXiv, physics/9812009 | | Other source: | [GID 306815] physics/9812009 | | Services: | Forum | Review | PDF | Favorites | |
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