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The extended charge in stochastic electrodynamics

Il Nuovo Cimento B Series 11, 1985
We derive a covariant equation for the motion of the extended charge and show how a consistent description is achieved for nonrelativistic velocities. If the external force is generated by the classical stochastic zero-point electromagnetic field, the equation of motion has the form of a Langevin equation with memory.
H. M. França, G. C. Santos
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Stochastic Electrodynamics: Methods and Results

1980
Stochastic Electrodynamics (SED) is a classical theory of particles and fields. The difference with respect to usual Electrodynamics is the assumption of a universal stochastic electromagnetic field (“background” field or “zero-point” field), which could be conceived as a classical counterpart to the vacuum field of Quantum Electrodynamics (QED).
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Gauge transformations in stochastic quantum electrodynamics

Il Nuovo Cimento, 1965
Invariance of the S-matrix of ordinary quantum electrodynamics under gauge transformations of the electromagnetic field is demonstrated explicitly. The behavior of the S-matrix of stochastic quantum electrodynamics is examined under gauge transformations of the mean value electromagnetic fieldAπ(x;L).
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Lie algebras of classical and stochastic electrodynamics

International Journal of Theoretical Physics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soares Neto, J. J., Vianna, J. D. M.
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The quartic anharmonic oscillator in stochastic electrodynamics

Journal of Mathematical Physics, 1982
The case of a slightly anharmonic oscillator (with a βx4 perturbing potential) is examined in the framework of stochastic electrodynamics (SED) in full detail. We obtain the stationary probability density and the mean energy, which differs from the quantum result at order β2.
L. Pesquera, P. Claverie
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Recent Developments in Linear Stochastic Electrodynamics

AIP Conference Proceedings, 2006
A detailed analysis of stochastic electrodynamics (SED) as a foundation for quantum mechanics has shown that the reasons for its failure in the case of nonlinear forces are not to be ascribed to the founding principles of the theory but to the approximation methods introduced, particularly the use of the Fokker‐Planck approximation and perturbation ...
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Stochastic Electrodynamics and the Bell Inequalities

1985
The basic ideas of stochastic electrodynamics are presented. In the light of these ideas, some general differences between quantum mechanics and local realistic theories are pointed out. The atomic-cascade experimental tests of Bell’s inequalities are analyzed and a loophole is reported in the refutation of local realism due to an incorrect ...
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The natural line-breadth in stochastic electrodynamics

International Journal of Theoretical Physics, 1974
The fact that the formalism of stochastic electrodynamics includes the reaction force, makes the calculation of the natural line-breadth straightforward. The evaluation of the relativistic correction to energy levels is greatly simplified in stochastic electrodynamics and brings out the concept of the propagation of the Coulomb field with the velocity ...
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The Kepler Problem In Stochastic Electrodynamics

1980
Stochastic electrodynamics is the Brownian motion of a charged particle in a random electromagnetic field with spectrum proportional to kω3 coth(kω/2kT). If the deterministic force field is simple harmonic, the properties of the system resemble closely those of the quantum-mechanical oscillator, but the extension to non-linear systems has proved to be ...
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A Brief Survey of Stochastic Electrodynamics

1980
Stochastic electrodynamics and random electrodynamics are the names given to a particular version of classical electrodynamics. This purely classical theory is Lorentz’s classical electron theory(1) into which one introduces random electromagnetic radiation (classical zero-point radiation) as the boundary condition giving the homogeneous solution of ...
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