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arXiv · 1511.05058

Analysis of half-spin particle motion in Reissner-Nordstroem and Schwarzschild fields by means of the method of effective potentials

M. V. Gorbatenko·V. P. Neznamov·E. Yu. Popov
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Abstract

The paper presents the analysis of effective potentials of Dirac equations in Schwarzschild and Reissner-Nordstroem fields. It is shown that in the majority of the explored cases the condition of a particle "fall" to appropriate event horizons is fulfilled. The exception is one of the solutions with normalizable wave functions for the Reissner-Nordstroem extreme field, for which the existence of the stationary bound state of half-spin particles is possible inside the event horizon.

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M. V. Gorbatenko, V. P. Neznamov, E. Yu. Popov. 2015-11-16. Analysis of half-spin particle motion in Reissner-Nordstroem and Schwarzschild fields by means of the method of effective potentials. https://arxiv.org/abs/1511.05058

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