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Investigation on the Mechanical Model and Quantization of Black Holes

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Abstract

Quantum mechanics model of Schwarzschild black hole is obtained by putting the classical Hamilton into Schrödinger equation. The results show that quantum mechanics model of Schwarzschild black hole is a harmonic oscillator containing perturbation in the general case. It is related to the microscopic quantum potential. Under special cases, it can be simplified into a standard model of the harmonic oscillator. The energy spectrum, event horizon area and wave function of Schwarzschild black hole are strictly obtained by the second quantization. The quantization of black hole is also proved.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No. 11575270.

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Authors and Affiliations

  1. School of Science, Shandong Jianzhu University, Jinan, 250101, China

    Zhao-Xi Li

  2. School of Physics and Electronic Engineering, Heze University, Heze, 274015, China

    Ji-Jian Jiang

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  1. Zhao-Xi Li
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  2. Ji-Jian Jiang
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Correspondence to Ji-Jian Jiang.

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Li, ZX., Jiang, JJ. Investigation on the Mechanical Model and Quantization of Black Holes. Int J Theor Phys 59, 3268–3277 (2020). https://doi.org/10.1007/s10773-020-04580-4

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  • DOI: https://doi.org/10.1007/s10773-020-04580-4

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