Hawking radiation as quantum mechanical reflection
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.
Cite
@article{arxiv.2203.06588,
title = {Hawking radiation as quantum mechanical reflection},
author = {Pritam Nanda and Chiranjeeb Singha and Pabitra Tripathy and Amit Ghosh},
journal= {arXiv preprint arXiv:2203.06588},
year = {2022}
}
Comments
9 pages and 3 figures, accepted for publication in General Relativity and Gravitation