INVARIANT SOLUTION OF THE DIRAC EQUATION IN THE CROSSED ELECTRIC AND MAGNETIC FIELDS $ (H \mathclose{>} E) $

2019 ◽  
Vol 53 (2 (249)) ◽  
pp. 138-141
Author(s):  
R.G. Petrosyan ◽  
M.A. Davtyan
Keyword(s):  
Dirac Equation ◽  
Magnetic Fields ◽  
Harmonic Oscillator ◽  
Invariant Solution ◽  
Charged Particles ◽  
Invariant Solutions ◽  
Quantum Harmonic Oscillator ◽  
Electric And Magnetic Fields

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.

Ion acceleration by multiple laser pulses and their spontaneous electromagnetic fields in plasma

2008 ◽  
Vol 74 (1) ◽  
pp. 111-118
Author(s):  
FEN-CE CHEN
Keyword(s):  
Magnetic Fields ◽  
Electric Field ◽  
Analytical Model ◽  
Electromagnetic Fields ◽  
Equations Of Motion ◽  
Charged Particles ◽  
Laser Pulses ◽  
The Self ◽  
Electric And Magnetic Fields ◽  
Relativistic Equations

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.

scholarly journals The motion of color-charged particles as a means of testing the non-Abelian dark matter model

2019 ◽  
Vol 28 (01) ◽  
pp. 1950017 ◽  
Author(s):  
Vladimir Dzhunushaliev ◽  
Vladimir Folomeev ◽  
Nina Protsenko
Keyword(s):  
Dark Matter ◽  
Magnetic Fields ◽  
Gauge Field ◽  
Charged Particles ◽  
Analytic Solutions ◽  
Yang Mills ◽  
Electric And Magnetic Fields ◽  
Matter Model ◽  
Dark Matter Model

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.

New exact solutions of the Dirac equation

1970 ◽  
Vol 48 (16) ◽  
pp. 1935-1937 ◽  
Author(s):  
Lui Lam
Keyword(s):  
Dirac Equation ◽  
Magnetic Fields ◽  
Exact Solutions ◽  
New Exact Solutions ◽  
Electric And Magnetic Fields ◽  
Dirac Electron ◽  
Klein Gordon ◽  
Special Case

Exact solutions of a Dirac electron in constant crossed electric and magnetic fields are found and given explicitly. The case of Klein–Gordon particles is shown to be a special case of ours.

scholarly journals A Non-Local Action for Electrodynamics: Duality Symmetry and the Aharonov-Bohm Effect, Revisited

Symmetry ◽  
2019 ◽  
Vol 11 (10) ◽  
pp. 1191 ◽  
Author(s):  
Joan Bernabeu ◽  
Jose Navarro-Salas
Keyword(s):  
Electromagnetic Field ◽  
Magnetic Fields ◽  
Harmonic Oscillator ◽  
Local Action ◽  
Action Functional ◽  
Duality Symmetry ◽  
Electric And Magnetic Fields ◽  
Non Local ◽  
Bohm Effect ◽  
Aharonov Bohm

A non-local action functional for electrodynamics depending on the electric and magnetic fields, instead of potentials, has been proposed in the literature. In this work we elaborate and improve this proposal. We also use this formalism to confront the electric-magnetic duality symmetry of the electromagnetic field and the Aharonov–Bohm effect, two subtle aspects of electrodynamics that we examine in a novel way. We show how the former can be derived from the simple harmonic oscillator character of vacuum electrodynamics, while also demonstrating how the magnetic version of the latter naturally arises in an explicitly non-local manner.

Gestural Articulations of Embodied Spatiality

2015 ◽  
pp. 233-256
Author(s):  
Lai Har Judy Lee ◽  
Yam San Chee
Keyword(s):  
Charged Particle ◽  
Magnetic Fields ◽  
Charged Particles ◽  
Particle Dynamics ◽  
Frame Of Reference ◽  
Game Based Learning ◽  
Design Based Research ◽  
3D Game ◽  
Electric And Magnetic Fields ◽  
Game Environment

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.

Drift theory of charged particles in electric and magnetic fields

1985 ◽  
Vol 116 (1) ◽  
pp. 107-129 ◽  
Author(s):  
R. A. Burger ◽  
H. Moraal ◽  
G. M. Webb
Keyword(s):  
Magnetic Fields ◽  
Charged Particles ◽  
Electric And Magnetic Fields ◽  
Drift Theory
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