Klein-Gordon Equation for a Particle in Brane Model

1
S.M. Kozyrev
S.M. Kozyrev
2
S.N. Andrianov
S.N. Andrianov
3
R.A. Daishev
R.A. Daishev

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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.

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References

  1. L Ryder (1987). Quantum field theory.
  2. J Wheeler (1964). Canonical formalism for gravity, the Wheeler–de Witt equation, and the canonical quantization of gravity.
  3. V Rubakov,M Shaposhnikov,R Maartens (2000). Extra Space-Time Dimensions: Towards A Solution To 4.
  4. F Darabi,W Sajko,P Wesson (2000). Quantum cosmology of 5D non-compactified Kaluza-Klein theory.
  5. P Gusin,Wheeler (2008). DeWitt equation for brane gravity.
  6. E Papantonopoulos (2001). BRANE INFLATION FROM MIRAGE COSMOLOGY.
  7. D Langlois (2002). Brane cosmology: an introduction.
  8. Philippe Brax,Carsten Bruck (2003). Cosmology and brane worlds: a review.
  9. N Birrel,P Davies (1982). Quantum Fields in Curved Space.
  10. M Pavsic,Klein-Gordon (2011). Wheeler-DeWitt-Schrodinger Equation.
  11. D Ivanenko (1985). Guage Theory of Gravity.
  12. Stanislav Fisenko,I Fisenko (2011). Is Gravitational Radiation a Radiation of the Same Level as Electromagnetic Radiation?.
  13. N Shavokhina (1996). Quantum theory of spinor field in four-dimensional Ryman world.
  14. H Weldon (2001). Fermions without vierbeins in curved space-time.

Funding

No external funding was declared for this work.

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The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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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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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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February 14, 2014

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English

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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.

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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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