Coherent states of a nonrelativistic charged particle in a constant electric field

1979 ◽  
Vol 22 (2) ◽  
pp. 217-218
Author(s):  
A. V. Yushin
Keyword(s):  
Charged Particle ◽  
Electric Field ◽  
Coherent States ◽  
Constant Electric Field

Charged particle in a constant electric field: force on a parallel plate charged capacitor

2018 ◽  
Vol 39 (4) ◽  
pp. 045201
Author(s):  
Alexander L Kholmetskii ◽  
Oleg V Missevitch ◽  
Tolga Yarman
Keyword(s):  
Charged Particle ◽  
Electric Field ◽  
Parallel Plate ◽  
Constant Electric Field ◽  
Field Force ◽  
Electric Field Force

A SIMPLE HAMILTONIAN MODEL OF RUNAWAY PARTICLE WITH SINGULAR INTERACTION

2005 ◽  
Vol 15 (05) ◽  
pp. 753-766 ◽  
Author(s):  
PAOLO BUTTÀ ◽  
FRANCESCO MANZO ◽  
CARLO MARCHIORO
Keyword(s):  
Charged Particle ◽  
Hamiltonian System ◽  
Electric Field ◽  
Particle Velocity ◽  
Electric Field Intensity ◽  
Constant Electric Field ◽  
One Dimensional ◽  
Accelerated Motion ◽  
Hamiltonian Model ◽  
Particle Medium

We consider a Hamiltonian system given by a charged particle under the action of a constant electric field and interacting with a medium, which is described as a Vlasov fluid. We assume that the action of the charged particle on the fluid is negligible and that the latter has one-dimensional symmetry. We prove that if the singularity of the particle/medium interaction is integrable and the electric field intensity is large enough, then the particle escapes to infinity with a quasi-uniformly accelerated motion. A key tool in the proof is a new estimate on the growth in time of the fluid particle velocity for one-dimensional Vlasov fluids with bounded interactions.

Path integral solution to a charged particle in an infinite square-well potential with a constant electric field

1994 ◽  
Vol 72 (9-10) ◽  
pp. 591-595 ◽  
Author(s):  
Kyu Hwang Yeon ◽  
Chung-In Um ◽  
Thomas F. George ◽  
Lakshmi N. Pandey
Keyword(s):  
Wave Function ◽  
Charged Particle ◽  
Electric Field ◽  
Path Integration ◽  
Uncertainty Relation ◽  
Constant Electric Field ◽  
Integral Solution ◽  
One Dimension ◽  
Feynman Path ◽  
Square Well

The propagator of a charged particle in an infinite square-well potential in one dimension with a constant electric field is solved exactly using Feynman path integration. The wave function of the system is evaluated by the propagator. This wave function depends on time in a way determined by the well size, particle mass and charge, and applied electric field. The uncertainty relation of the system is also obtained by this function.

scholarly journals Phonon residual resistance of pure crystals

2015 ◽  
Vol 29 (29) ◽  
pp. 1550206
Author(s):  
A. I. Agafonov
Keyword(s):  
Electric Field ◽  
Constant Electric Field ◽  
Finite Thickness ◽  
Mean Free Path ◽  
Residual Resistivity ◽  
Boltzmann Transport ◽  
Residual Resistance ◽  
Temperature Resistance ◽  
Electron Mean Free Path ◽  
The Ideal

In this paper, using the Boltzmann transport equation, we study the zero temperature resistance of perfect metallic crystals of a finite thickness d along which a weak constant electric field E is applied. This resistance, hereinafter referred to as the phonon residual resistance, is caused by the inelastic scattering of electrons heated by the electric field, with emission of long-wave acoustic phonons and is proportional to [Formula: see text]. Consideration is carried out for Cu, Ag and Au perfect crystals with the thickness of about 1 cm, in the fields of the order of 1 mV/cm. Following the Matthiessen rule, the resistance of the pure crystals, the thicknesses of which are much larger than the electron mean free path is represented as the sum of both the impurity and phonon residual resistances. The condition on the thickness and field is found at which the low-temperature resistance of pure crystals does not depend on their purity and is determined by the phonon residual resistivity of the ideal crystals. The calculations are performed for Cu with a purity of at least 99.9999%.

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