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arXiv · 2203.06588

Hawking radiation as quantum mechanical reflection

Pritam Nanda·Chiranjeeb Singha·Pabitra Tripathy·Amit Ghosh
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Abstract

In this article, we explore an alternative derivation of Hawking radiation. Instead of the field-theoretic derivation, we have suggested a simpler calculation based on quantum mechanical reflection from a one-dimensional potential. The reflection coefficient shows an exponential fall in energy which, in comparison with the Boltzmann probability distribution, yields a temperature. The temperature is the same as Hawking temperature for spherically symmetric black holes. The derivation gives an exact local calculation of Hawking temperature that involves a region lying entirely outside the horizon. This is a crucial difference from the tunneling calculation, where it is necessary to involve a region inside the horizon.

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Pritam Nanda, Chiranjeeb Singha, Pabitra Tripathy, Amit Ghosh. 2022-03-13. Hawking radiation as quantum mechanical reflection. https://doi.org/10.1007/s10714-022-03007-1

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