• Corpus ID: 214774826

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… 
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