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arXiv · 1403.1422

Quantum Portrait of a Black Hole with Pöschl-Teller Potential

Wolfgang Mück·Giancarlo Pozzo
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Abstract

We improve upon the simple model studied by Casadio and Orlandi [JHEP 1308 (2013) 025] for a black hole as a condensate of gravitons. Instead of the harmonic oscillator potential, the Pöschl-Teller potential is used, which allows for a continuum of scattering states. The quantum mechanical model is embedded into a relativistic wave equation for a complex Klein-Gordon field, and the charge of the field is interpreted as the gravitational charge (mass) carried by the graviton condensate.

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Wolfgang Mück, Giancarlo Pozzo. 2014-03-13. Quantum Portrait of a Black Hole with Pöschl-Teller Potential. https://doi.org/10.1007/jhep05(2014)128

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