Quantum Reissner-Nordstr$\ddot{o}$m Black Hole

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Abstract

The quantization of black holes has been a topic ofinterest in theoretical physics for several decades. In this work,It is discussed the quantization of Reissner-Nordstr$\ddot{o}$m (RN) blackhole carefully. Under the framework of Bohr-Sommerfeld quantization,It is analyzed about the quantum property of RN black holes, that isquantum RN black hole. After a couple of quantum numbers $n_{1},n_{2}$to be introduced, the mass, charge, and area of RN black holes are quantizedand indivisibly discretized. It is shown that the transition of mass,charge and event horizon area are jumping and discrete. And, finally,It is obtained for the mass, charge, and area of the ground state of RN.black hole. It indicates that quantum RN black holes will not disappear.finally with the evaporation of a black hole.

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