Turbiner's Conjecture in Three Dimensions

Details Turbiner's Conjecture in Three Dimensions Turbiner's Conjecture in Three Dimensions

2006-12-20

arxiv.org/abs/math/0612621v1

Mathematics

Differential Geometry

29 pages, 8 figures

Scientific paper

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.

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