Quantum equation of motion for a particle in the field of primordial fluctuations

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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8 pages, 3 figures

Scientific paper

10.1117/12.801754

Brane model of universe is considered for a particle. Conservation laws
inside the brane are obtained. Equation of motion is derived for a particle
using variation principle from these conservation laws. This equation includes
terms accounting the variation of brane topology. Its solution is obtained at
some approximations and dispersion relation for a particle is derived.

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