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Klein-Gordon Equation for a Particle in Brane Model
S.N. Andrianov, R.A. Daishev, S.M. Kozyrev
Volume 13 Issue 8
Global Journal of Science Frontier Researc
Volume 13 Issue 8
Global Journal of Science Frontier Researc
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.
