arXiv subjects

Mélisande Fortin Boisvert

Publications and source records attributed to Mélisande Fortin Boisvert.

2 recordsLinked to original sources

arXiv2007

Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions.

math.DG↗

arXiv2006

Turbiner's Conjecture in Three Dimensions

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.

math.DG↗