We have calculated a discrete spectrum and found an exact analytical solution in the form of Meixner polynomials for the wave function of a thin gravitating shell in the Reissner-Nordstrom geometry. We show that there is no extreme state in the quantum spectrum of the gravitating shell, as in the case of extreme black hole.
@article{arxiv.1010.0175,
title = {The wave function of a gravitating shell},
author = {V. I. Dokuchaev and S. V. Chernov},
journal= {arXiv preprint arXiv:1010.0175},
year = {2011}
}