Brownian Motion of Charged Particles in Crossed Electric and Magnetic Fields

1966 ◽  
Vol 141 (1) ◽  
pp. 222-227 ◽  
Author(s):  
Richard L. Liboff
2008 ◽  
Vol 74 (1) ◽  
pp. 111-118
Author(s):  
FEN-CE CHEN

AbstractThe acceleration of ions by multiple laser pulses and their spontaneously generated electric and magnetic fields is investigated by using an analytical model for the latter. The relativistic equations of motion of test charged particles are solved numerically. It is found that the self-generated axial electric field plays an important role in the acceleration, and the energy of heavy test ions can reach several gigaelectronvolts.


2019 ◽  
Vol 28 (01) ◽  
pp. 1950017 ◽  
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Nina Protsenko

A possibility is discussed to experimentally test a dark matter model supported by a classic non-Abelian SU(3) Yang–Mills gauge field. Our approach is based on the analysis of the motion of color-charged particles in the background of color electric and magnetic fields using the Wong equations. Estimating the magnitudes of the color fields near the edge of a galaxy, we employ them in obtaining the general analytic solutions to the Wong equations. Using the latter, we calculate the magnitude of the extra acceleration of color-charged particles related to the possible presence of the color fields in the neighborhood of Earth.


2019 ◽  
Vol 53 (2 (249)) ◽  
pp. 138-141
Author(s):  
R.G. Petrosyan ◽  
M.A. Davtyan

In the article exact analytical and invariant solutions for both spinless and half-spin relativistic charged particles in crossed constant electric and magnetic fields, when $ H \mathclose{>} E $ have been found. It is shown that in both cases the problem reduces to that of quantum harmonic oscillator.


2015 ◽  
pp. 233-256
Author(s):  
Lai Har Judy Lee ◽  
Yam San Chee

The work described in this paper is part of a design-based research involving the use of a game-based learning curriculum to foster students' understanding of physics concepts and principles governing the motion of charged particles in electric and magnetic fields. Students engaged in game-play and discussed the dynamics of the charged particles within the 3D game environment. The discussion sessions were video-recorded and an analysis was carried out on the gestures used by a group of students attempting to generalize their observations of the phenomena. The students' gestures were analyzed to gain insights on their embodied sense-making of charged particle dynamics. The analysis showed that the students used gestures to (1) establish a shared frame of reference, (2) enact embodied game experience, and (3) enable the development of new understanding that surpasses their own existing vocabulary. Implications are discussed with regard to how teachers may take students' gestures into account when facilitating the development of concepts with a strong visuo-spatial core.


1985 ◽  
Vol 116 (1) ◽  
pp. 107-129 ◽  
Author(s):  
R. A. Burger ◽  
H. Moraal ◽  
G. M. Webb

2010 ◽  
Vol 2010 ◽  
pp. 1-5 ◽  
Author(s):  
B. Levchenko

Image fields generated by a bunch of charged particles between two parallel perfectly conducting plates are studied in detail. We derive exact analytical expressions for external fields of a charged relativistic bunch with a circular cross-section. Summation of image fields by the direct method invented by Laslett allows the infinite series to be represented in terms of elementary trigonometric functions.


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