Abstracts

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.