Quantum equation of motion for a particle in the field of primordial fluctuations
arXiv:0808.3337 · doi:10.1117/12.801754
Abstract
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.
8 pages, 3 figures