Entire functions, PT-symmetry and Voros's quantization scheme
Mathematical Physics
2021-09-13 v2 Complex Variables
math.MP
Spectral Theory
Abstract
In this paper, A. Avila's theorem on convergence of the exact quantization scheme of A. Voros is related to the reality proofs of eigenvalues of certain PT-symmetric boundary value problems. As a result, a special case of a conjecture of C. Bender, S. Boettcher and P. Meisinger on reality of eigenvalues is proved.
Cite
@article{arxiv.1510.02504,
title = {Entire functions, PT-symmetry and Voros's quantization scheme},
author = {Alexandre Eremenko},
journal= {arXiv preprint arXiv:1510.02504},
year = {2021}
}
Comments
12 pages