scholarly journals Field of a moving locked charge in classical electrodynamics

2020 ◽  
Vol 35 (32) ◽  
pp. 2050267
Author(s):  
Alexander J. Silenko
Keyword(s):  
Wave Function ◽  
Spatial Distribution ◽  
Magnetic Fields ◽  
Electric Field ◽  
Charge Density ◽  
Maxwell Equations ◽  
Classical Electrodynamics ◽  
Closed Space ◽  
Electric And Magnetic Fields ◽  
Average Electric Field

The paradox of a field of a moving locked charge (confined in a closed space) is considered and solved with the use of the integral Maxwell equations. While known formulas obtained for instantaneous fields of charges moving along straight and curved lines are fully correct, measurable quantities are average electric and magnetic fields of locked charges. It is shown that the average electric field of locked charges does not depend on their motion. The average electric field of protons moving in nuclei coincides with that of protons being at rest and having the same spatial distribution of the charge density. The electric field of a twisted electron is equivalent to the field of a centroid with immobile charges whose spatial distribution is defined by the wave function of the twisted electron.

EXCITONS IN A NARROW PARABOLIC QUANTUM WELL UNDER EXTERNAL FIELDS

2003 ◽  
Vol 17 (24) ◽  
pp. 1253-1264 ◽  
Author(s):  
ECATERINA C. NICULESCU ◽  
LILIANA BURILEANU
Keyword(s):  
Spatial Distribution ◽  
Magnetic Fields ◽  
Electric Field ◽  
Quantum Well ◽  
Effective Mass ◽  
Conduction Band ◽  
Quantum Confinement ◽  
Mass Approximation ◽  
Low Field ◽  
Electric And Magnetic Fields

The effects of electric and magnetic fields on the ground (1S-like) and excited (2S-like) states of an exciton in a narrow GaAs/Al x Ga 1-x As parabolic quantum well are studied. The effective-mass approximation within a perturbation-variational scheme is adopted. We find that the hole-mass anisotropy and nonparabolicity of the conduction band significantly modify the electron properties in such structures in which the quantum confinement plays a fundamental role. The effect of the electric field on the spatial distribution of the electron and hole is also investigated. In the low field regime, the diamagnetic shift of the exciton energies is calculated.

scholarly journals ABOUT THE SIMULTANEOUS CO-EXISTENCE OF INSTANTANEOUS AND RETARDED INTERACTIONS IN CLASSICAL ELECTRODYNAMICS

2002 ◽  
Vol 17 (19) ◽  
pp. 2513-2518 ◽  
Author(s):  
LjUBA ŠKOVRLJ ◽  
TOMISLAV IVEZIĆ
Keyword(s):  
Magnetic Fields ◽  
Maxwell Equations ◽  
Classical Electrodynamics ◽  
Partial Derivatives ◽  
Usual Form ◽  
Electric And Magnetic Fields ◽  
Accelerated Charge

In this paper it is proved that, contrary to the results found by A.E. Chubykalo and S.J. Vlaev (Int. J. Mod. Phys.14, 3789 (1999)), the retarded electric and magnetic fields for a uniformly accelerated charge exactly satisfy Maxwell equations (ME). Furthermore, it is shown that ME are correctly written in the usual form with the partial derivatives and thus not, as proposed by Chubykalo and Vlaev, with the total derivatives.

scholarly journals ANALISIS HUBUNGAN SALURAN TEGANGAN TINGGI LISTRIK TERHADAP JARINGAN SELULAR DI DAERAH GRAHA INDAH TAMBAKBOYO LAMONGAN

JOUTICA ◽  
2019 ◽  
Vol 4 (2) ◽  
pp. 255
Author(s):  
Kemal Farouq Mauladi ◽  
Nurul Fuad
Keyword(s):  
Public Health ◽  
Magnetic Fields ◽  
Electric Field ◽  
Cellular Networks ◽  
Electromagnetic Fields ◽  
Electricity Generation ◽  
Negative Impact ◽  
Electrical Energy ◽  
Electric And Magnetic Fields ◽  
The Impact

Telecommunications technology is developing very rapidly, ranging from users or engineers. The development of smartphone smartphones is also increasingly in demand, so that the use of electricity needs is also increasing. The need for electricity usage has resulted in more standing voltage in some settlements. The establishment of sutet will have a negative impact on public health. In addition, the influence of electrical energy on humans occurs because the electrical energy generated by electricity generation or electricity that is channeled gives rise to electromagnetic fields. The higher the voltage required by an equipment, the greater the electric field that is distributed. Besides that, it can also find ways to reduce the negative impact of the electric and magnetic fields produced by SUTET which impacts the process of the occurrence of electric and magnetic fields on SUTET. From the problems above, the author intends to determine the effect or correlation between the impact of SUTET on cellphone network transmissions or channels. This research can later determine the negative impact caused by SUTET for the surrounding community, and the impact of SUTET radiation on cellular networks.

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.

Modified Morris-Lecar neuron model: Effects of very low frequency electric fields and of magnetic fields on the local and network dynamics of an excitable media

2021 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Irene Moroz ◽  
Balamurali Ramakrishnan ◽  
Anitha Karthikeyan ◽  
Prakash Duraisamy
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Field ◽  
Neuron Model ◽  
Low Noise ◽  
Spiral Waves ◽  
Excitable Media ◽  
Field Frequency ◽  
Electric And Magnetic Fields ◽  
Electric Field Frequency

Abstract A Morris-Lecar neuron model is considered with Electric and Magnetic field effects where the electric field is a time varying sinusoid and magnetic field is simulated using an exponential flux memristor. We have shown that the exposure to electric and magnetic fields have significant effects on the neurons and have exhibited complex oscillations. The neurons exhibit a frequency-locked state for the periodic electric field and different ratios of frequency locked states with respect to the electric field frequency is also presented. To show the impact of the electric and magnetic fields on network of neurons, we have constructed different types of network and have shown the network wave propagation phenomenon. Interestingly the nodes exposed to both electric and magnetic fields exhibit more stable spiral waves compared to the nodes exhibited only to the magnetic fields. Also, when the number of layers are increased the range of electric field frequency for which the layers exhibit spiral waves also increase. Finally the noise effects on the field affected neuron network are discussed and multilayer networks supress spiral waves for a very low noise variance compared against the single layer network.

scholarly journals The Quaternionic Commutator Bracket and Its Implications

Symmetry ◽  
2018 ◽  
Vol 10 (10) ◽  
pp. 513 ◽  
Author(s):  
Arbab Arbab ◽  
Mudhahir Al Ajmi
Keyword(s):  
Wave Function ◽  
Electromagnetic Field ◽  
Angular Momentum ◽  
Charged Particle ◽  
Magnetic Fields ◽  
Interaction Energy ◽  
Internal Structure ◽  
Magnetic Moments ◽  
Electric And Magnetic Fields ◽  
Aharonov Bohm

A quaternionic commutator bracket for position and momentum shows that the quaternionic wave function, viz. ψ ˜ = ( i c ψ 0 , ψ → ) , represents a state of a particle with orbital angular momentum, L = 3 ℏ , resulting from the internal structure of the particle. This angular momentum can be attributed to spin of the particle. The vector ψ → , points in an opposite direction of L → . When a charged particle is placed in an electromagnetic field, the interaction energy reveals that the magnetic moments interact with the electric and magnetic fields giving rise to terms similar to Aharonov–Bohm and Aharonov–Casher effects.

Photodetachment microscopy of H– ion in time-dependent electric and magnetic fields

2018 ◽  
Vol 96 (9) ◽  
pp. 961-968
Author(s):  
De-hua Wang
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Electric Field ◽  
Interference Pattern ◽  
Current Distribution ◽  
Time Dependent ◽  
Electron Current ◽  
Detector Plane ◽  
Electron Trajectories ◽  
Electric And Magnetic Fields

We examine the dynamics of electrons photodetached from the H– ion in time-dependent electric and magnetic fields for the first time. The photodetachment microscopy patterns caused by a time-dependent gradient electric field and magnetic field have been analyzed in great detail based on the semiclassical theory. The interplay of the gradient electric field and magnetic field forces causes an intricate shape of the electron wave and multiple electron trajectories generated by a fixed energy point source can arrive at a given point on the microchannel-plate detector. The interference effects between these electron trajectories cause the oscillatory structures of the electron probability density and electron current distribution, and a set of concentric interference fringes are found at the detector. Our calculation results suggest that the photodetachment microscopy interference pattern on the detector can be adjusted by the electron energy, magnetic field strength, and position of the detector plane. Under certain conditions, the interference pattern in the electron current distribution might be seen on the detector plane localized at a macroscopic distance from the photodetachment source, which can be observed in an actual photodetachment microscopy experiment. Therefore, we make predictions that our work should serve as a guide for future photodetachment microscopy experiments in time-dependent electric and magnetic fields.

scholarly journals Robust midgap states in band-inverted junctions under electric and magnetic fields

2018 ◽  
Vol 9 ◽  
pp. 1405-1413 ◽  
Author(s):  
Álvaro Díaz-Fernández ◽  
Natalia del Valle ◽  
Francisco Domínguez-Adame
Keyword(s):  
Magnetic Fields ◽  
Electric Field ◽  
Growth Direction ◽  
Band Model ◽  
Dirac Cone ◽  
Electron States ◽  
Heavy Atoms ◽  
Electric And Magnetic Fields ◽  
Band Inversion ◽  
Semiconductor Compounds

Several IV–VI semiconductor compounds made of heavy atoms, such as Pb1 −x Sn x Te, may undergo band-inversion at the L point of the Brillouin zone upon variation of their chemical composition. This inversion gives rise to topologically distinct phases, characterized by a change in a topological invariant. In the framework of the k·p theory, band-inversion can be viewed as a change of sign of the fundamental gap. A two-band model within the envelope-function approximation predicts the appearance of midgap interface states with Dirac cone dispersions in band-inverted junctions, namely, when the gap changes sign along the growth direction. We present a thorough study of these interface electron states in the presence of crossed electric and magnetic fields, the electric field being applied along the growth direction of a band-inverted junction. We show that the Dirac cone is robust and persists even if the fields are strong. In addition, we point out that Landau levels of electron states lying in the semiconductor bands can be tailored by the electric field. Tunable devices are thus likely to be realizable, exploiting the properties studied herein.

Quasi-static electric and magnetic fields in vacuum

2018 ◽  
Author(s):  
J. Pierrus
Keyword(s):  
Magnetic Field ◽  
Nineteenth Century ◽  
Magnetic Fields ◽  
Electric Field ◽  
Electromagnetic Induction ◽  
Point Of View ◽  
Time Dependent ◽  
Important Phenomenon ◽  
Electric And Magnetic Fields ◽  
Practical Standpoint

In this chapter, the transition from time-independent to time-dependent source densities and fields is made. It is here that Faraday’s famous nineteenth-century experiments on electromagnetic induction are first encountered. This important phenomenon—whereby a changing magnetic field produces an induced electric field (whose curl is now no longer zero)—forms the basis of most of the questions and solutions which follow. Some new and interesting examples—not usually found in other textbooks—are introduced. These are treated both from an analytical and numerical point of view. Also considered here is the standard yet important topic (at least from a practical standpoint) of mutual and self-inductance. Several questions deal with this concept.

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