Turbiner's Conjecture in Three Dimensions

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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 Schrödinger operators corresponding to flat metrics of a certain restricted type are shown to separate partially in either Cartesian, cylindrical or spherical coordinates.
29 pages, 8 figures

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Differential Geometry, 81Q70, 22E70, 53C80, 53C12

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http://salesiana.dossiersoluciones.com/handle/123456789/120406

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0612621
 http://arxiv.org/abs/math/0612621

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arXiv