School and Conference on Modern Mathematical Physics

9 - 14 September 2019, Belgrade, Serbia


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Ciprian Sporea

Fermionic quasibound states for Reissner-Nordstrom black holes

In this work we discuss the existence of Dirac (quasi)bound states in the gravitational field of a Reissner-Nordstrom black hole. We have found that such type of states do exist and we obtain them by analysing the discrete quantum modes that are square integrable solutions of the Dirac field in this type of geometry. By imposing a suitable quantization condition os these modes, we were able to derive an analytical expression for the ground state. The energy of higher states are then obtained numerically. In the limit of small black hole mass M the energy of the RN quasibouns states are compared with the Dirac-Coulomb energy levels, and we have found that the two are in good agreement.


Institute of Physics Belgrade (University of Belgrade)
Belgrade, Serbia
Faculty of Mathematics (University of Belgrade)
Belgrade, Serbia
Mathematical Institute (Serbian Academy of Sciences and Arts)
Belgrade, Serbia
Faculty of Science (University of Kragujevac)
Kragujevac, Serbia
Serbian Academy of Sciences and Arts (SASA)
Belgrade, Serbia


Institute of Nuclear Sciences "VinĨa" (University of Belgrade)
Belgrade, Serbia
Institute of Physics (University of Kragujevac)
Kragujevac, Serbia
Faculty of Physics (University of Belgrade)
Belgrade, Serbia
Faculty of Sciences (University of Novi Sad)
Novi Sad, Serbia
School of Electrical Engineering (University of Belgrade)
Belgrade, Serbia
SEENET-MTP (Southeastern European Network in Mathematical and Theoretical Physics)
Nis, Serbia