# Ladder Operators and Rational Extensions

@article{GmezUllate2020LadderOA,
author={David G{\'o}mez-Ullate and Yves Grandati and Zoe McIntyre and Robert Milson},
journal={arXiv: Mathematical Physics},
year={2020},
pages={121-130}
}
This note presents the classification of ladder operators corresponding to the class of rational extensions of the harmonic oscillator. We show that it is natural to endow the class of rational extensions and the corresponding intertwining operators with the structure of a category $${\mathbb {REXT}}$$. The combinatorial data for this interpretation is realized as a functor $$\mathbb {M}\mathbb {D} \rightarrow {\mathbb {REXT}}$$, where $$\mathbb {M}\mathbb {D}$$ refers to the set of Maya… Expand
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