Authors: Nekrasov Grigory Yu
The quantum mechanical Klein-Gordon-Fock equation in the space-time curved by the background sources is considered. The comparative analysis of this equation and the same equation in the flat Minkowski space-time is made. The Klein-Gordon-Fock equation is solved for the case of the microscopic Schwarzschild black hole near the event horizon. It is supposed that in curved spaces of special type this equation will describe the quantum particle, as then the fourth component of the probability current density — to within a multiplier the probability density will be strictly positive. The solution provided in this article is applicable for the description of a massive particle with spin 0 near the event horizon of the microscopic black holes. The main text of the article will be provided in Russian.
Comments: 9 Pages. In Russian
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[v1] 2026-02-24 21:45:08
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