dorsal/arxiv
View SchemaHow to Describe Photons as (3+1)-Solitons?
| Authors | S. Donev, D. Trifonov |
|---|---|
| Categories | |
| ArXiv ID | physics/9812009 |
| URL | https://arxiv.org/abs/physics/9812009 |
| Journal | Aspects of Complex Analysis, Differential Geometry, Mathematical Physics and Applications, p. 246-61, Eds: S. Dimiev and K. Sekigawa, W. Scientific, 1999 |
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.
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"abstract": "This paper aims to present the pure field part of the newly developed\nnonlinear {\\it Extended Electrodynamics} [1]-[3] in non-relativistic terms,\ni.e. in terms of the electric and magnetic vector fields (${\\mathbf E},{\\mathbf\nB}$), and to give explicitly those (3+1)-soliton solutions of the new equations\nwhich have the integral properties of photons. The set of solutions to the new\nequations contains all solutions to Maxwell\u0027s equations as a subclass, as well\nas, new solutions, called nonlinear. The important characteristics {\\it scale\nfactor}, {\\it amplitude function}, and {\\it phase function} of a nonlinear\nsolution are defined in a coordinate free way and effectively used. The\nnonlinear solutions are identified through the non-zero values of two\nappropriately defined vector fields $\\vec{\\cal F}$ and $\\vec{\\cal M}$, as well\nas, through the finite values of the corresponding scale factors. The intrinsic\nangular momentum (spin) is also defined. A limited superposition principle\n(interference of nonlinear solutions), yielding the well known classical {\\it\ncoherence} conditions, is found to exist.",
"arxiv_id": "physics/9812009",
"authors": [
"S. Donev",
"D. Trifonov"
],
"categories": [
"physics.optics",
"hep-th",
"nlin.PS",
"patt-sol",
"physics.atom-ph",
"quant-ph"
],
"journal_ref": "Aspects of Complex Analysis, Differential Geometry, Mathematical\n Physics and Applications, p. 246-61, Eds: S. Dimiev and K. Sekigawa, W.\n Scientific, 1999",
"title": "How to Describe Photons as (3+1)-Solitons?",
"url": "https://arxiv.org/abs/physics/9812009"
},
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