Klein-Gordon Equation for a Particle in Brane Model
Abstract
Brane model of universe is considered for a free particle. Conservation laws on the brane are obtained using the symmetry properties of the brane. Equation of motion is derived for a particle using variation principle from these conservation laws. This equation includes terms accounting the variation of brane radius. Its solution is obtained at some approximations. Dispersion relation for a particle and formula for variation of its speed at variation of brane curvature are derived.
Downloads
How to Cite
References
L. Ryder (1987) Quantum field theory.
J. Wheeler (1964) in: C.
V. Rubakov, M. Shaposhnikov (1983) Extra Space-Time Dimensions: Towards A Solution To The Cosmological Constant Problem, Phys. 125(2-3), 139-143. https://doi.org/10.1016/0370-2693(83)91254-6
R. Maartens (2000) Cosmological dynamics on the brane. 62, 084023.
F. Darabi, W. Sajko, P. Wesson (2000) Quantum cosmology of 5D non-compactified Kaluza-Klein theory, Class. 17(21), 4357-4364. https://doi.org/10.1088/0264-9381/17/21/301
Gusin P. (2008) Wheeler-DeWitt equation for brane gravity. 77, 066017.
E. Papantonopoulos (2001) Brane Cosmology (Lectures presented at the First Aegean Summer School on Cosmology, Samos, September 2001).
D. Langlois (2002) Brane cosmology: an introduction.
Philippe Brax, Carsten Bruck (2003) Cosmology and brane worlds: a review. 20(9), R201-R232. https://doi.org/10.1088/0264-9381/20/9/202
N. Birrel, P. Davies (1982) Quantum Fields in Curved Space.
M. Pavsic (2011) Klein-Gordon-Wheeler-DeWitt-Schrodin- ger Equation.
D. Ivanenko (1985) Guage Theory of Gravity.
S. Fisenko, I. Fisenko (2011) Gravitational Radiation of the Relativistic Theory of Gravitation. 2(1), 1-20.
Atomic Nucleus (1996) Quantum theory of spinor field in four-dimensional Ryman world. 27(5), 1469.
H. Weldon (2001) Fermions without vierbeins in curved space-time. 63(10), 104010.
Published
2013-11-28
Issue
Section
License
Copyright (c) 2013 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.