Turbiner's Conjecture in Three Dimensions
微分几何
2007-05-23 v1
摘要
We prove a modified version of Turbiner's conjecture in three dimensions and we give a counter-example to the original conjecture. The Lie algebraic Schr\"odinger operators corresponding to flat metrics of a certain restricted type are shown to separate partially in either Cartesian, cylindrical or spherical coordinates.
引用
@article{arxiv.math/0612621,
title = {Turbiner's Conjecture in Three Dimensions},
author = {Mélisande Fortin Boisvert},
journal= {arXiv preprint arXiv:math/0612621},
year = {2007}
}
备注
29 pages, 8 figures