Publication: Canonical quantization of neutral and charged static black hole as a gravitational atom
Issued Date
2021-01-28
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ISSN
17426596
17426588
17426588
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2-s2.0-85100751657
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Mahidol University
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SCOPUS
Bibliographic Citation
Journal of Physics: Conference Series. Vol.1719, No.1 (2021)
Suggested Citation
David Senjaya, Alejandro Saiz Rivera Canonical quantization of neutral and charged static black hole as a gravitational atom. Journal of Physics: Conference Series. Vol.1719, No.1 (2021). doi:10.1088/1742-6596/1719/1/012019 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/79021
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Title
Canonical quantization of neutral and charged static black hole as a gravitational atom
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Abstract
The gravitational field is usually neglected in the calculation of atomic energy levels as its effect is much weaker than the electromagnetic field, but that is not the case for a particle orbiting a black hole. In this work, the canonical quantization of a massive and massless particles under gravitational field exerted by this tiny but very massive object-both neutral and charged-is carried out. By using this method, a very rare exact result of the particle's quantized energy can be discovered. The presence of a very strong attractive field and also the horizon make the energy complex valued and force the corresponding wave function to be a quasi-bound state. Moreover, by taking the small scale limit, the system becomes a gravitational atom in the sense of Hydrogenic atoms energy levels and its wave function can be rediscovered. Moreover, analogous to electronic transitions, the transition of the particle in this case emits a graviton which carries a unique fingerprint of the black hole. If it can be detected, this essential information such as black hole's mass and charge can be known.