Cosmic censorship and stationary states of half-spin particles in the field of Reissner-Nordstr?m naked singularity

16th Workshop on High Energy Spin Physics

Gorbatenko, M.V.^1 ; Neznamov, V.P.^1,2 ; Popov, E. Yu^1 ; Safronov, I.I.^1

Russian Federal Nuclear Center, All-Russian Research Institute of Experimental Physics, Sarov, Mira 37, Nizhni Novgorod region

607188, Russia^1

National Research Nuclear University MEPhI, Moscow, Russia^2

关键词: Electrical charges;    Energy eigenvalues and eigenfunctions;    Naked singularities;    Particle motions;    Positive potential;    Potential barriers;    Quantum mechanical;    Stationary state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/678/1/012036/pdf
DOI  :  10.1088/1742-6596/678/1/012036

来源: IOP

【 摘 要 】

The paper explores quantum mechanics of half-spin particle motion in the field of Reissner-Nordström (RN) naked singularity. It is shown that for any quantum mechanical Dirac particle, irrespective of availability and sign of its electrical charge, the RN naked singularity is separated by an infinitely high positive potential barrier. With like charges of a particle and the source of the RN naked singularity, near the origin there exists the second completely impenetrable potential barrier. It has been proved that in the field of the RN naked singularity, bound states of half-spin particles can exist. The conditions for appearance of such states were revealed and computations were performed to find energy eigenvalues and eigenfunctions.