# Classification of Calogero-like 2nd order superintegrable systems in 3 dimensions

@article{Berntson2020ClassificationOC, title={Classification of Calogero-like 2nd order superintegrable systems in 3 dimensions}, author={Bjorn K Berntson and Ernie G. Kalnins and Willard Miller and Jr.}, journal={arXiv: Mathematical Physics}, year={2020} }

All 2nd order classical and quantum superintegrable systems in 3 dimensional conformally flat spaces with nondegenerate (i.e., 4-parameter) potentials have been classified and great progress has been made on the classification of semidegenerate (i.e., 3-parameter) potentials. By definition these admit 5 functionally linearly independent symmetry operators, i.e., they are not only linearly independent in the usual sense but also if the coefficients are allowed to depend on the spatial variables…

## One Citation

A new way to classify 2D higher order quantum superintegrable systems

- MathematicsJournal of Physics A: Mathematical and Theoretical
- 2020

We revise a method by Kalnins, Kress and Miller (2010) for constructing a canonical form for symmetry operators of arbitrary order for the Schrodinger eigenvalue equation $H\Psi \equiv (\Delta_2…

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