Theoretical and Mathematical Physics

, Volume 82, Issue 3, pp 244–252 | Cite as

Soliton model of elementary electric charge

  • A. P. Kobushkin
  • N. M. Chepilko


Thus, we have shown that in the electrodynamics of the Klein-Gordon field there exist two spectra of three-dimensional electrostatic soliton solutions. One of them is dynamically stable, the other topologically stable. For each of the spectra, the value of the electrostatic potential at the center of the soliton is quantized, while the value of the electric field vanishes. At the periphery of the solitons, the electrostatic potential corresponds to the Coulomb law.

The topological charge of the soliton is related to quantization of the value of the electrostatic potential at infinity:\(\Phi _p (r) \simeq e/r + _{\varphi _p } \),p=0, 1, 2, .... The topological soliton can obviously be regarded as a model of an elementary electric charge, an attractive feature of which is the absence of divergences of the integrals of the motion.

For the dynamical solitons, we have ϕ p =0,p=0, 1, 2, ....

A rotating electrostatic soliton can be regarded as a soliton model of an elementary electric charge possessing an intrinsic magnetic moment. The magnetic field at the center of the rotating soliton is quantized, while at its periphery the field has a magneticdipole nature.


Magnetic Field Soliton Electric Charge Attractive Feature Electrostatic Potential 
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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • A. P. Kobushkin
  • N. M. Chepilko

There are no affiliations available

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