The general 1D Schr\"odinger equation as an exactly solvable problem
数学物理
2007-05-23 v1 math.MP
谱理论
摘要
We review an exact WKB resolution method for the stationary 1D Schr\"odinger equation with a general polynomial potential. This contribution covers already published material: we supply a commented summary here, stressing a few aspects which were less highlighted before. As some of our earlier papers needed later corrections, we also recapitulate these here in footnotes in the bibliography. The latter, not meant to be exhaustive, focuses on narrowly relevant works plus some broader ones that do offer more extensive bibliographies.
引用
@article{arxiv.math-ph/0412041,
title = {The general 1D Schr\"odinger equation as an exactly solvable problem},
author = {André Voros},
journal= {arXiv preprint arXiv:math-ph/0412041},
year = {2007}
}
备注
18 pages, 2 figures; proceedings, Recent trends in exponential asymptotics (RIMS, Kyoto 2004), to appear in RIMS Kokyuroku, 2005