Quantum Portrait of a Black Hole with P\"oschl-Teller Potential
classification
✦ hep-th
gr-qc
keywords
potentialblackchargecondensatefieldholemodeloschl-teller
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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 P\"oschl-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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