Klein-Gordon Equation for a Particle in Brane Model

Article ID

SFRK258Z

Klein-Gordon Equation for a Particle in Brane Model

S.N. Andrianov
S.N. Andrianov
R.A. Daishev
R.A. Daishev
S.M. Kozyrev
S.M. Kozyrev
DOI

Abstract

Brane model of universe is considered for a free particle. Conservation laws on the brane are obtained using the symme-try 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 approx-imations. Dispersion relation for a particle and formula for variation of its speed at variation of brane curvature are derived.

Klein-Gordon Equation for a Particle in Brane Model

Brane model of universe is considered for a free particle. Conservation laws on the brane are obtained using the symme-try 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 approx-imations. Dispersion relation for a particle and formula for variation of its speed at variation of brane curvature are derived.

S.N. Andrianov
S.N. Andrianov
R.A. Daishev
R.A. Daishev
S.M. Kozyrev
S.M. Kozyrev

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S.M. Kozyrev. 2014. “. Global Journal of Science Frontier Research – A: Physics & Space Science GJSFR-A Volume 13 (GJSFR Volume 13 Issue A8): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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Klein-Gordon Equation for a Particle in Brane Model

S.N. Andrianov
S.N. Andrianov
R.A. Daishev
R.A. Daishev
S.M. Kozyrev
S.M. Kozyrev

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