scholarly journals The motion of a relativistic charged particle in a homogenous electromagnetic field in De-Sitter space

2018 ◽  
Vol 64 (2) ◽  
pp. 176 ◽  
Author(s):  
Ridvan Cem Demirkol ◽  
Talat Körpinar
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
De Sitter Space ◽  
Geometric Characterization ◽  
Antisymmetric Tensor ◽  
De Sitter ◽  
Relativistic Approach ◽  
Relativistic Charged Particle

We discuss the geometric characterization of the trajectoryof a moving charged particle, for the case of a homogeneous electromagnetic…eld, in De-Sitter space when the motion is governed by the Lorentz equa-tion. We employ totally relativistic approach during the discussion and itis based on a systematic use of the four-dimensional Frenet-Serret formulae,which is adapted to the De-Sitter space to determine the worldline geometryof the electromagnetic …eld acting on the particle in De-Sitter space, and ofthe Faraday antisymmetric tensor properties.

scholarly journals Weingarten spacelike hypersurfaces in a de Sitter space

2012 ◽  
Vol 20 (1) ◽  
pp. 387-406
Author(s):  
Junfeng Chen ◽  
Shichang Shu
Keyword(s):  
De Sitter Space ◽  
De Sitter ◽  
Principal Curvatures ◽  
Riemannian Product ◽  
Spacelike Hypersurfaces ◽  
Hyperbolic Cylinder

Abstract We study some Weingarten spacelike hypersurfaces in a de Sitter space S1n+1 (1). If the Weingarten spacelike hypersurfaces have two distinct principal curvatures, we obtain two classification theorems which give some characterization of the Riemannian product Hk(1−coth2 ϱ)× Sn−k(1 − tanh2 ϱ), 1 < k < n − 1 in S1n+1(1), the hyperbolic cylinder H1(1 − coth2 ϱ) × Sn-1(1 − tanh2 ϱ) or spherical cylinder Hn−1(1 − coth2 ϱ) × S1(1 − tanh2 ϱ) in S1n+1 (1)

scholarly journals Massless scalar and antisymmetric tensor fields in de Sitter space

1988 ◽  
Vol 37 (10) ◽  
pp. 2872-2877 ◽  
Author(s):  
Chandra Pathinayake ◽  
Alexander Vilenkin ◽  
Bruce Allen
Keyword(s):  
De Sitter Space ◽  
Antisymmetric Tensor ◽  
Massless Scalar ◽  
De Sitter ◽  
Tensor Fields

RELATIVISTIC PARTICLE WITH TORSION AND CHARGED PARTICLE IN A CONSTANT ELECTROMAGNETIC FIELD: IDENTITY OF EVOLUTION

1995 ◽  
Vol 10 (20) ◽  
pp. 1463-1469 ◽  
Author(s):  
MIKHAIL S. PLYUSHCHAY
Keyword(s):  
Electromagnetic Field ◽  
Charged Particle ◽  
Relativistic Particle ◽  
The Other ◽  
Classical Motion ◽  
Constant Electromagnetic Field ◽  
Effective System ◽  
Relativistic Charged Particle ◽  
Higher Derivatives ◽  
Chern Simons

The identity of classical motion is established for two physically different models, one of which is the relativistic particle with torsion, whose action contains higher derivatives and which is the effective system for the statistically charged particle interacting with the Chern-Simons U(1) gauge field, and the other is the (2+1)-dimensional relativistic charged particle in external constant electromagnetic field.

scholarly journals AN EXACT SOLUTION TO THE QUANTIZED ELECTROMAGNETIC FIELD IN D-DIMENSIONAL DE SITTER SPACE–TIMES

2012 ◽  
Vol 27 (30) ◽  
pp. 1250177 ◽  
Author(s):  
G. ALENCAR ◽  
I. GUEDES ◽  
R. R. LANDIM ◽  
R. N. COSTA FILHO
Keyword(s):  
Electromagnetic Field ◽  
Extra Dimensions ◽  
Particle Production ◽  
De Sitter Space ◽  
Thermal Bath ◽  
De Sitter ◽  
Microwave Background ◽  
Quantum Behavior ◽  
Dynamic Invariants ◽  
Do So

In this work, we investigate the quantum theory of light propagating in D-dimensional de Sitter space–times. To do so, we use the method of dynamic invariants to obtain the solution of the time-dependent Schrödinger equation. The quantum behavior of the electromagnetic field in this background is analyzed. As the electromagnetism loses its conformality in D≠4, we point out that there will be particle production and comoving objects will feel a Bunch–Davies thermal bath. This may become important in extra dimension physics and raises the intriguing possibility that precise measurements of the Cosmic Microwave Background could verify the existence of extra dimensions.

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