scholarly journals Solutions of time-dependent Klein-Gordon and Dirac equations for a uniform electric field

1968 ◽  
Vol 72B (1) ◽  
pp. 37
Author(s):  
V.V. Myers
Keyword(s):  
Electric Field ◽  
Time Dependent ◽  
Uniform Electric Field ◽  
Dirac Equations ◽  
Klein Gordon

Motion in a time‐dependent, uniform electric field

1982 ◽  
Vol 50 (11) ◽  
pp. 1001-1005 ◽  
Author(s):  
S. Fallieros ◽  
J. L. Friar
Keyword(s):  
Electric Field ◽  
Time Dependent ◽  
Uniform Electric Field

CREATION OF SCALAR AND DIRAC PARTICLES IN THE PRESENCE OF A TIME VARYING ELECTRIC FIELD IN AN ANISOTROPIC UNIVERSE

2002 ◽  
Vol 17 (20) ◽  
pp. 2781-2781
Author(s):  
VÍCTOR M. VILLALBA
Keyword(s):  
Electric Field ◽  
Particle Distribution ◽  
Anisotropic Universe ◽  
Homogeneous Electric Field ◽  
Dirac Equations ◽  
Dirac Particles ◽  
Electric Interaction ◽  
Quasiclassical Limit ◽  
Klein Gordon ◽  
Hamilton Jacobi Equation

We compute the density of scalar and Dirac particles created by a cosmological anisotropic universe1,2 in the presence of a time dependent homogeneous electric field. In order to compute the rate of particles created we apply a quasiclassical approach that has been used successfully in different scenarios3,4. The idea behind the method is the following: First, we solve the relativistic Hamilton-Jacobi equation and, looking at its solutions, we identify positive and negative frequency modes. Second, after separating variables5,6, we solve the Klein-Gordon and Dirac equations and, after comparing with the results obtained for the quasiclassical limit, we identify the positive and negative frequency states. We show that the particle distribution becomes thermal when one neglects the electric interaction.

scholarly journals Quantum Probes of Timelike Naked Singularities in2+1-Dimensional Power-Law Spacetimes

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
O. Gurtug ◽  
M. Halilsoy ◽  
S. Habib Mazharimousavi
Keyword(s):  
Quantum Mechanics ◽  
Scalar Field ◽  
Electric Field ◽  
Power Law ◽  
Energy Conditions ◽  
Naked Singularities ◽  
Real Scalar ◽  
Dirac Equations ◽  
Klein Gordon ◽  
Scalar Theories

The formation of naked singularities in2+1-dimensional power-law spacetimes in linear Einstein-Maxwell and Einstein-scalar theories sourced by azimuthally symmetric electric field and a self-interacting real scalar field, respectively, are considered in view of quantum mechanics. Quantum test fields obeying the Klein-Gordon and Dirac equations are used to probe the classical timelike naked singularities developed atr=0. We show that when the classically singular spacetimes probed with scalar waves, the considered spacetimes remain singular. However, the spinorial wave probe of the singularity in the metric of a self-interacting real scalar field remains quantum regular. The notable outcome in this study is that the quantum regularity/singularity cannot be associated with the energy conditions.

Bubble motion in liquid nitrogen under a non-uniform electric field in a microgravity environment

1997 ◽  
Vol 117 (11) ◽  
pp. 1109-1114
Author(s):  
Yoshiyuki Suda ◽  
Kenji Mutoh ◽  
Yosuke Sakai ◽  
Kiyotaka Matsuura ◽  
Norio Homma
Keyword(s):  
Electric Field ◽  
Liquid Nitrogen ◽  
Microgravity Environment ◽  
Uniform Electric Field ◽  
Bubble Motion

Discussion of Electrode Conditioning Mechanism Based on Pre-breakdown Current under Non-uniform Electric Field in Vacuum

2008 ◽  
Vol 128 (12) ◽  
pp. 1445-1451
Author(s):  
Takanori Yasuoka ◽  
Tomohiro Kato ◽  
Katsumi Kato ◽  
Hitoshi Okubo
Keyword(s):  
Electric Field ◽  
Uniform Electric Field
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