Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

Details Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

2007-09-28

arxiv.org/abs/0709.4528v3

SIGMA 3 (2007), 109, 24 pages

Mathematics

Differential Geometry

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2007.109

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 Schr\"odinger operators in three dimensions.

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