Classical Electron Models

Pearle, Philip

doi:10.1007/978-1-4757-0650-5_7

Cited by 65 publications

(56 citation statements)

References 29 publications

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“…2.2], and the Lorentz relativistically covariant model which was studied and advanced in [1], [23,Sect. 16], [31], [34], [37,Sects. 2,6], [40], [41, Sects.…”

Section: (T)] = Q E (T R (T)) + 1 C V (T) × B (T R (T))mentioning

confidence: 99%

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Wave-Corpuscle Mechanics for Electric Charges

Babin

Figotin

2009

J Stat Phys

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It is well known that the concept of a point charge interacting with the electromagnetic (EM) field has a problem. To address that problem we introduce the concept of wave-corpuscle to describe spinless elementary charges interacting with the classical EM field. Every charge interacts only with the EM field and is described by a complex valued wave function over the 4-dimensional space time continuum. A system of many charges interacting with the EM field is defined by a local, gauge and Lorentz invariant Lagrangian with a key ingredient-a nonlinear self-interaction term providing for a cohesive force assigned to every charge. An ideal wave-corpuscle is an exact solution to the Euler-Lagrange equations describing both free and accelerated motions. It carries explicitly features of a point charge and the de Broglie wave. Our analysis shows that a system of well separated charges moving with nonrelativistic velocities are represented accurately as wave-corpuscles governed by the Newton equations of motion for point charges interacting with the Lorentz forces. In this regime the nonlinearities are "stealthy" and don't show explicitly anywhere, but they provide for the binding forces that keep localized every individual charge. The theory can also be applied to closely interacting charges as in hydrogen atom where it produces discrete energy spectrum.

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“…2.2], and the Lorentz relativistically covariant model which was studied and advanced in [1], [23,Sect. 16], [31], [34], [37,Sects. 2,6], [40], [41, Sects.…”

Section: (T)] = Q E (T R (T)) + 1 C V (T) × B (T R (T))mentioning

confidence: 99%

“…Then using the charge equilibrium equation (15) we eliminate the nonlinearity G in the above equation (34) and obtain the following equation equivalent to it:…”

Section: Accelerated Motion Of Wave-corpuscle In An External Electricmentioning

confidence: 99%

Wave-Corpuscle Mechanics for Electric Charges

Babin

Figotin

2009

J Stat Phys

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“…To see this, we return to the Sommerfeld-Page Eq. (8), which can be written in the following form [9,16]:…”

Section: Runaway and Acausalitymentioning

confidence: 99%

“…This can be seen most easily if Eq. (25) is turned into an integral equation with a Green's function [9,16]: Then the Green's function G(r) vanishes for~<0. Therefore, the motion is causal.…”

Section: Runaway and Acausalitymentioning

confidence: 99%