Solutions of the Klein-Gordon and Dirac equations for a particle in a constant electric field and a plane electromagnetic wave propagating along the field

1976 ◽  
Vol 26 (1) ◽  
pp. 9-20 ◽  
Author(s):  
N. B. Narozhnyi ◽  
A. I. Nikishov
Keyword(s):  
Electromagnetic Wave ◽  
Electric Field ◽  
Plane Electromagnetic Wave ◽  
Constant Electric Field ◽  
Dirac Equations ◽  
Klein Gordon

Scattering Characteristics of Stratified Double Negative Stacks Using the Frequency Dispersive Cold Plasma Medium

2007 ◽  
Vol 62 (5-6) ◽  
pp. 247-253 ◽  
Author(s):  
Cumali Sabah ◽  
Savas Uckun
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Electric Field ◽  
Cold Plasma ◽  
Plane Electromagnetic Wave ◽  
Numerical Results ◽  
Double Negative ◽  
Plasma Medium ◽  
Double Positive ◽  
Perpendicular Polarization

We present the wave propagation through stratified double negative stacks to illustrate the scattering characteristics of their structure. The double negative stacks are modeled by using the hypothetical non-dispersive and the frequency dispersive cold plasma media. The stacks are embedded between two double positive media and the incident electric field is assumed a plane electromagnetic wave with any arbitrary polarization. By imposing the boundary conditions, the relations between the fields inside and outside the stacks can be written in a matrix form. Using this transfer matrix, the incident, reflected, and transmitted powers are derived. The variations of the powers for the stratified double negative stacks using the frequency dispersive cold plasma medium have not been investigated yet, in detail. Thus, their characteristics for the perpendicular polarization is computed and presented in numerical results with the emphasis on the plasma frequencies. It is seen from the numerical results that the stratified double negative stacks can be used as electromagnetic filters at some frequency bands.

Pair creation in curved Snyder space

2020 ◽  
Vol 35 (04) ◽  
pp. 2050014 ◽  
Author(s):  
B. Hamil ◽  
M. Merad ◽  
T. Birkandan
Keyword(s):  
Electric Field ◽  
Hypergeometric Functions ◽  
Gordon Equation ◽  
Constant Electric Field ◽  
Pair Creation ◽  
Bogoliubov Transformation ◽  
Transformation Technique ◽  
Scalar Particles ◽  
Klein Gordon ◽  
Klein Gordon Equation

We study the problem of pair creation of scalar particles by an electric field in curved Snyder space. We find exact solutions for the Klein–Gordon equation with a constant electric field in terms of hypergeometric functions. Then we calculate the pair creation probability and the number of created pairs of particles through Bogoliubov transformation technique.

scholarly journals Exactly solvable cases in QED with t-electric potential steps

2017 ◽  
Vol 32 (18) ◽  
pp. 1750105 ◽  
Author(s):  
T. C. Adorno ◽  
S. P. Gavrilov ◽  
D. M. Gitman
Keyword(s):  
Electric Field ◽  
Electric Fields ◽  
Electric Potential ◽  
Constant Electric Field ◽  
Particle Creation ◽  
External Electromagnetic Field ◽  
Mean Values ◽  
Closed Form Solutions ◽  
Exactly Solvable ◽  
Klein Gordon

In this paper, we present in detail consistent QED (and scalar QED) calculations of particle creation effects in external electromagnetic field that correspond to three most important exactly solvable cases of t-electric potential steps: Sauter-like electric field, T-constant electric field, and exponentially growing and decaying electric fields. In all these cases, we succeeded to obtain new results, such as calculations in the modified configurations of the above-mentioned steps and detailed considerations of new limiting cases in already studied steps. As was recently discovered by us, the information derived from considerations of exactly solvable cases allows one to make some general conclusions about quantum effects in fields for which no closed form solutions of the Dirac (or Klein–Gordon) equation are known. In the present paper, we briefly represent such conclusions about universal behavior of vacuum mean values in slowly varying strong electric fields.

Separation of variables for the Klein–Gordon and Dirac equations in two-dimensional space-times with a null coordinate

1990 ◽  
Vol 68 (11) ◽  
pp. 1243-1246
Author(s):  
Victor M. Villalba
Keyword(s):  
Dimensional Space ◽  
Separation Of Variables ◽  
Constant Electric Field ◽  
Coordinate Systems ◽  
Constant Acceleration ◽  
Quantum Distribution ◽  
Dirac Equations ◽  
Curvilinear Coordinate ◽  
Klein Gordon ◽  
Free Case

The separation of variables for the Klein–Gordon and Dirac equations, in the presence of electromagnetic fields, for a class of curvilinear coordinate systems with a null coordinate is presented. We show that these coordinates can be associated with a system with constant acceleration. Exact solutions for the free case and for a particle in a constant electric field are obtained. Finally, the quantum distribution of scalar massless particles in the accelerated frame of reference is computed.

scholarly journals Calculation of electric field strength in the ionospheric F-region

2018 ◽  
Vol 22 (Suppl. 1) ◽  
pp. 159-164
Author(s):  
Ali Yesil ◽  
Kadri Kurt
Keyword(s):  
Refractive Index ◽  
Electromagnetic Wave ◽  
Field Strength ◽  
Electric Field ◽  
Electric Field Strength ◽  
Local Time ◽  
Plane Electromagnetic Wave ◽  
Attenuation Factor ◽  
Ordinary Wave ◽  
F Region

In this study, we have calculated the electric field strength, Ey, of a plane electromagnetic wave with frequency, ?, propagation along z-axes and the polarized y-axes in 1-D by using Wentzel, Kramers, and Brillouin method for both with and without collision conditions in ionospheric F-region with regard to seasonal and local time. Also, the refractive index of ordinary wave and attenuation factor was computed for collision and collision-free conditions. When the collisions were calculated in the F-region of the ionosphere, it was observed that the electric field strength decreased for all seasons and Ey increased between 275-400 km altitudes encountering approximately hmF2 ?the peak of F2? for the accepted conditions.

Sign in / Sign up

Export Citation Format

Share Document