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arXiv · 1110.3181

Naked Reissner-Nordström singularity and quasiclassical bound states

Valentin D. Gladush·Dmitry A. Kulikov
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Abstract

The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordström singularity is approached by means of the quasiclassical Bohr-Sommerfeld quantization. An approximate analytical expression for the energy levels of the system is derived. It is shown that in order to obtain non-vanishing binding energies the masses of both the central object and the particle should be comparable with the Planck mass.

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Valentin D. Gladush, Dmitry A. Kulikov. 2011-10-14. Naked Reissner-Nordström singularity and quasiclassical bound states. https://arxiv.org/abs/1110.3181

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