Quantization of electromagnetic field in the Schwarzschild spacetime
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908730625359872 |
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| author | Egorov, Vadim Smolyakov, Mikhail Volobuev, Igor |
| author_facet | Egorov, Vadim Smolyakov, Mikhail Volobuev, Igor |
| contents | We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the internal region of the black hole. We prove that there exists a unitary gauge, which can be viewed as a combination of the Coulomb and Poincare gauges and is compatible with the field equations. The solutions corresponding to the stationary one-particle states of the electromagnetic field are studied, the canonical commutation relations and the Hamiltonian of the quantized electromagnetic field are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07049 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantization of electromagnetic field in the Schwarzschild spacetime Egorov, Vadim Smolyakov, Mikhail Volobuev, Igor General Relativity and Quantum Cosmology High Energy Physics - Theory We discuss the problem of canonical quantization of electromagnetic field in the Schwarzschild spacetime. It is shown that a consistent procedure of canonical quantization of the field can be carried out without taking into account the internal region of the black hole. We prove that there exists a unitary gauge, which can be viewed as a combination of the Coulomb and Poincare gauges and is compatible with the field equations. The solutions corresponding to the stationary one-particle states of the electromagnetic field are studied, the canonical commutation relations and the Hamiltonian of the quantized electromagnetic field are obtained. |
| title | Quantization of electromagnetic field in the Schwarzschild spacetime |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2410.07049 |