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Open Quantum Systems Decoherence
Entanglement Theory Quantum Correlations
Quantum Simulation
Ladder operators and rational extensions
arXiv
Authors: David Gomez-Ullate, Yves Grandati, Zoe McIntyre, Robert Milson
Year
2019
Paper ID
15231
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
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 REXT. The combinatorial data for this interpretation is realized as a functor MD → REXT, where MD refers to the set of Maya diagrams appropriately endowed with categorical structure. Our formalism allows us to easily reproduce and extend earlier results on ladder operators.
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- This note presents the classification of ladder operators corresponding to the class of rational extensions of the harmonic oscillator.
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