# Classification of quantum superintegrable systems with quadratic integrals on two dimensional manifolds

@inproceedings{Tanoudes2006ClassificationOQ, title={Classification of quantum superintegrable systems with quadratic integrals on two dimensional manifolds}, author={C. Daskaloyannis And Y. Tanoudes}, year={2006} }

There are two classes of quantum integrable systems on a manifold with quadratic integrals, the Liouville and the Lie integrable systems as it happens in the classical case. The quantum Liouville quadratic integrable systems are deﬁned on a Liouville manifold and the Schr¨odinger equation can be solved by separation of variables in one coordinate system. The Lie integrable systems are deﬁned on a Lie manifold and are not generally separable ones but the can be solved. Therefore there are…

## 11 Citations

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