Klein-Gordon Equation for a Particle in Brane Model

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

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Klein-Gordon Equation for a Particle in Brane Model

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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.

References

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

S.M. Kozyrev. 2014. \u201cKlein-Gordon Equation for a Particle in Brane Model\u201d. Global Journal of Science Frontier Research - A: Physics & Space Science GJSFR-A Volume 13 (GJSFR Volume 13 Issue A8).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Version of record

v1.2

Issue date
February 14, 2014

Language
en
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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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