Electron Theory and Quantum Electrodynamics pp 261-278 | Cite as

# Quantum Theory of Self-Organizing Electrically Charged Particles: Soliton Model of the Electron

## Abstract

The investigation of the physical nature of the electron and the study of its internal structure is one of the key problems of present-day physics. Though the electron became the first elementary particle discovered experimentally (J. Thomson, 1897), the description of its unique properties on the basis of an uncontradictory model remains the most important scientific problem, which was formulated by W. Thomson as follows: “Tell me what the electron is and I’ll explain to you everything else.” Progress in solving this problem will undoubtedly open up great possibilities for producing radically new electronic devices, materials, and technologies that are based on using intra-electron processes.

## Keywords

Dynamical Variable Quantum Electrodynamic Electron Wave Function Potential Energy Function Lamb Shift## Preview

Unable to display preview. Download preview PDF.

## References

- 1.P. A. M. Dirac,
*The Principles of Quantum Mechanics*(Oxford, Clarendon Press, 1958).MATHGoogle Scholar - 2.P. A. M. Dirac,
*Lectures on Quantum Mechanics*(Yeshiva University, NY, 1964).Google Scholar - 3.M. D. Crisp and E. T. Jaynes, “Radiative effects in semiclassical theory,”
*Phys. Rev.***179**:1253 (1969).CrossRefGoogle Scholar - 4.E. Schrödinger, “Quantisierung als Eigenwertproblem. Vierte Mitteilung,”
*Ann. der Physik***81**:109 (1926).MATHCrossRefGoogle Scholar - 5.E. Schrödinger,
*Collected Papers on Quantum Mechanics*, edited by L. S. Polak, (Nauka, 1976), p. 134, 199.Google Scholar - 6.C. R. Stroud, Jr. and E. T. Jaynes, “Long-term solutions in semiclassical radiation theory,”
*Phys. Rev. A***1**:106 (1979).CrossRefGoogle Scholar - 7.J. R. Ackerhalt and J. H. Eberly, “Quantum electrodynamics and radiation reaction: nonrelativistic atomic frequency shifts and lifetimes,”
*Phys. Rev. D*10:3350 (1974).CrossRefGoogle Scholar - 8.A. O. Barut and J. Kraus, “Nonperturbative QED: The Lamb shift,”
*Found, of Physics*13:189 (1983).MathSciNetCrossRefGoogle Scholar - 9.A. O. Barut and J. F. van Huele, “Quantum electrodynamics based on self-energy: Lamb shift and spontaneous emission without field quantization,”
*Phys. Rev. A***32**:3187 (1985).CrossRefGoogle Scholar - 10.A. O. Barut, “QED based on self-energy,”
*Physica Scripta T*21:18 (1988).CrossRefGoogle Scholar - 11.A. O. Barut and J. P. Dowling, “QED based on self-energy: spontaneous emission in cavities,”
*Phys. Rev. A*36:649 (1987).CrossRefGoogle Scholar - 12.A. O. Barut and J. P. Dowling, “Interpretation of self-field quantum electrodynamics,”
*Phys. Rev. A*43:4060 (1991).CrossRefGoogle Scholar - 13.V. P. Oleinik, “To electrodynamics of the dielectric medium without potentials,”
*Quant. Electron.*34:92 (1988).Google Scholar - 14.V. P. Oleinik, “On quantum dynamics of the self-interacting particles in electromagnetic field,”
*Quant. Electron.*36:87 (1989).Google Scholar - 15.V. P. Oleinik, “On dynamics and internal energy spectrum of charged quantum particles,”
*Quant. Electron.*40:75 (1991).Google Scholar - 16.V. P. Oleinik, “On internal structure of electrically charged particles due to their own Coulomb field,”
*Quant. Electron.*42:68 (1992).Google Scholar - 17.V. P. Oleinik, “Quantum electrodynamics describing the internal structure of electron,”
*Quant. Electron.*44:51 (1993).Google Scholar - 18.V. P. Oleinik, “To the theory of the internal structure of electron: Second quantization and energy relations,”
*Quant. Electron.*. 45:57 (1993).MathSciNetGoogle Scholar - 19.V. P. Oleinik, “Quantum dynamics of the self-acting electron,”
*Quant. Electron.*47 51 (1994).Google Scholar - 20.V. P. Oleinik, “Quantum electrodynamics describing the internal structure of electron, gauge-independent and covariant theory,” University of Leipzig, NTZ,
*Prepr*., No. 7 (1992), Leipzig, p. 30.Google Scholar - 21.V. P. Oleinik, “Quantum electrodynamics describing the internal structure of electron: Energy relations and second quantization,”
*Prepr*., No. 1-92, KPI, Kiev (1992), p. 40.Google Scholar - 22.V. P. Oleinik, Yangqiang Ran, and L. P. Godenko, “Self-acting electron in external field,”
*Prepr*., No. 2-93, KPI, Kiev (1993), p. 31.Google Scholar - 23.V. P. Oleinik,
*Prepr*., No. 3-93, KPI, Kiev (1993), p. 66.Google Scholar - 24.V. P. Oleinik,
*Prepr*., No. 4-93, KPI, Kiev (1993), p. 44.Google Scholar - 25.G. Efimov,
*Nonlocal Interactions of Quantized Fields*, (Nauka, Moscow, Russia, 1977).Google Scholar - 26.R. Z. Sagdeev and A. A. Galeev,
*Nonlinear Plasma Theory*, edited by T. O’Neil and D. Book (Benjamin, 1969).Google Scholar - 27.G. Nicolis and I. Prigogine,
*Self-Organization in Nonequilibrium Systems*(Wiley Interscience, NY 1977).MATHGoogle Scholar - 28.H. Haken,
*Advanced Synergetics. Instability Hierarchies of Self-Organizing Systems and Devices*(Springer-Verlag, Berlin, Heidelberg, New York, Tokyo, 1983).MATHGoogle Scholar - 29.Ju. D. Arepjev, A. Ju. Buts, and V. P. Oleinik, “To the problem of internal structure of electrically charged particles. Spectra of internal energy and charge distribution for a free electron and hydrogen atom.” Prepr. of the Institute of Semiconductors of the Ukraine, No. 8-91, Kiev, 1991.Google Scholar