Geonium spectra⋅electron radius⋅cosmon

1989 ◽  
Author(s):  
Hans Dehmelt
Keyword(s):  
Electron Radius

A Covariant Semi-Classical Theory of the Radiating Electron

1977 ◽  
Vol 32 (1) ◽  
pp. 101-102
Author(s):  
M. Sorg
Keyword(s):  
Classical Theory ◽  
Characteristic Length ◽  
Order Approximation ◽  
Classical Equation ◽  
Radiation Reaction ◽  
Equation Of Motion ◽  
Compton Wavelength ◽  
Classical Electron ◽  
Electron Radius ◽  
Classical Electron Radius

Abstract A new semi-classical equation of motion is suggested for the radiating electron. The characteristic length of the new theory is the Compton wavelength λc(= ħ/2 m c) instead of the classical electron radius which is used in all purely classical theories of the radiating electron. However, the lowest order approximation of the radiation reaction contains only the classical radius rc.

scholarly journals Classical electrodynamics without singularities

1948 ◽  
Vol 195 (1042) ◽  
pp. 323-336 ◽  
Keyword(s):  
World Line ◽  
Equations Of Motion ◽  
The Self ◽  
Classical Electrodynamics ◽  
Dirac Equations ◽  
Form Function ◽  
The World ◽  
Extended Charge ◽  
Electron Radius ◽  
Mass Component

It is shown that it is possible to construct a theory of the electron with an extended charge distribution in a Lorentz invariant way by introducing a four-dimensional form function. The electromagnetic field quantities reduce to those given by the ordinary theory at distances large compared with the electron radius r 0 , but remain finite on the world line. The equations of motion, after elimination ’of the self field, become integro-differential equations. In the case of small accelerations an expansion in powers of r 0 similar to that of Lorentz is obtained, in which only odd powers of r 0 occur. The first term endows the electron with a mass component of electromagnetic origin. For accelerations small compared with the characteristic frequency l/ r 0 of the electron, the Lorentz-Dirac equations are a good approximation; for larger accelerations, higher terms become important.

scholarly journals Simulation of Phosphorus Implantation into Silicon with a Single Parameter Electronic Stopping Power Model

1998 ◽  
Vol 09 (03) ◽  
pp. 459-470 ◽  
Author(s):  
David Cai ◽  
Charles M. Snell ◽  
Keith M. Beardmore ◽  
Niels Grønbech-Jensen
Keyword(s):  
Fine Tuning ◽  
Stopping Power ◽  
Power Model ◽  
Physical Processes ◽  
Wide Range ◽  
The One ◽  
Electron Radius ◽  
Charge Formula ◽  
Electronic Stopping Power ◽  
Dopant Profiles

We simulate dopant profiles for phosphorus implantation into silicon using a new model for electronic stopping power. In this model, the electronic stopping power is factorized into a globally averaged effective charge [Formula: see text], and a local charge density dependent electronic stopping power for a proton. There is only a single adjustable parameter in the model, namely the one electron radius [Formula: see text] which controls [Formula: see text]. By fine tuning this parameter, we obtain excellent agreement between simulated dopant profiles and the SIMS data over a wide range of energies for the channeling case. Our work provides a further example of implant species, in addition to boron and arsenic, to verify the validity of the electronic stopping power model and to illustrate its generality for studies of physical processes involving electronic stopping.

Chemical shift and donor-electron radius for lightly dopedn-Ge

1980 ◽  
Vol 22 (12) ◽  
pp. 6347-6349 ◽  
Author(s):  
Surendra Singh ◽  
G. S. Verma
Keyword(s):  
Chemical Shift ◽  
Electron Radius

Single Atomic Particle at Rest in Free Space: New Value for Electron Radius

1985 ◽  
pp. 2-5
Author(s):  
H. G. Dehmelt ◽  
G. Gabrielse ◽  
K. Helmerson ◽  
G. Janik ◽  
W. G. Nagourney ◽  
...  
Keyword(s):  
Free Space ◽  
Atomic Particle ◽  
Electron Radius

scholarly journals The Abraham–Lorentz force and electrodynamics at the classical electron radius

2019 ◽  
Vol 34 (15) ◽  
pp. 1950077 ◽  
Author(s):  
Janos Polonyi
Keyword(s):  
Lorentz Force ◽  
Radiation Reaction ◽  
Classical Electron ◽  
Satisfactory Description ◽  
Point Splitting ◽  
Reaction Forces ◽  
Electron Radius ◽  
Classical Language ◽  
Classical Electron Radius ◽  
Classical Radiation

The Abraham–Lorentz force is a finite remnant of the UV singular structure of the self-interaction of a point charge with its own field. The satisfactory description of such an interaction needs a relativistic regulator. This turns out to be a problematic point because the energy of regulated relativistic cutoff theories is unbounded from below. However, one can construct point-splitting regulators which keep the Abraham–Lorentz force stable. The classical language can be reconciled with QED by pointing out that the effective quantum theory for the electric charge supports a saddle point producing the classical radiation reaction forces.

scholarly journals Pointlike Electric Charge in Gravitational Field Theory

2018 ◽  
Vol 14 (2) ◽  
pp. 5611-5623
Author(s):  
Hans Dekker
Keyword(s):  
Source Term ◽  
Structure Constant ◽  
Momentum Tensor ◽  
Theoretical Physics ◽  
Fine Structure Constant ◽  
Total Charge ◽  
Gravitational Fields ◽  
Characteristic Radius ◽  
Electron Radius ◽  
Schwarzschild Radius

The existence of charged elementary 'point particles' still is a basically unsolved puzzle in theoretical physics. The present work takes a fresh look at the problem by including gravity---without resorting to string theory. Using Einstein's equations for the gravitational fields in a general static isotropic metric with the full energy-momentum tensor (for the charged material mass and the electromagnetic fields) as the source term, a novel exact solution with a well-defined characteristic radius emerges where mass and charge accumulate: $r_{\rm c}{=}\sqrt{r_{\rm e}r_o/2}$---with $r_{\rm e}{=}Q^2\!/4\pi\epsilon_omc^2$ being the 'classical' radius associated with the total charge $Q$ and where $r_o{=}2mG/c^2$ is the Schwarzschild radius belonging to the observable mass $m$ (for the electron one has $r_{\rm e}{\approx}10^{-15}$m and $r_o{\approx}\,10^{-57}$m). The resulting 'Einstein-Maxwell' gravitational electron radius can also be written as $r_{\rm c}{=}\ell_{\rm P}\sqrt{\alpha_{\rm e}}$, where $\ell_{\rm P}{=}\sqrt{\hbar G/c^3}{\approx}10^{-35}$m is the fundamental Planck length and $\alpha_{\rm e}{=}e^2\!/4\pi\epsilon_o\hbar c{\approx}1/137$ the fine-structure constant, which yields $r_{\rm c}^{\rm electron}{=}1.38063{\times}10^{-36}$m.

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