Convergence of an exact quantization scheme
动力系统
2009-11-10 v1 数学物理
math.MP
摘要
It has been shown by Voros \cite {V} that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schr\"odinger operator with potential , ) is a fixed point of an explicit non-linear transformation. We show that this fixed point is globally and exponentially attractive in spaces of properly normalized sequences.
引用
@article{arxiv.math/0306218,
title = {Convergence of an exact quantization scheme},
author = {Artur Avila},
journal= {arXiv preprint arXiv:math/0306218},
year = {2009}
}
备注
10 pages, no figures, first version