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# Some spectral equivalences between Schrödinger operators

@inproceedings{DunningSomeSE, title={Some spectral equivalences between Schr{\"o}dinger operators}, author={Clare Dunning and Katrina E. Hibberd and Jon Links} }

Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrödinger operators are established, using Gaudin-type Bethe ansatz equations. In some instances the results can be extended leading to full isospectrality. In this manner we obtain equivalences between P T-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators.