Convergence of an exact quantization scheme
arXiv:math/0306218 · doi:10.1007/s00220-004-1112-9
Abstract
It has been shown by Voros \cite {V} that the spectrum of the one-dimensional homogeneous anharmonic oscillator (Schrödinger operator with potential $q^{2M}$, $M>1$) 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.
10 pages, no figures, first version