Some spectral equivalences between Schrodinger operators

Details Some spectral equivalences between Schrodinger operators Some spectral equivalences between Schrodinger operators

2008-04-23

arxiv.org/abs/0804.3684v1

Physics

Mathematical Physics

14 pages

Scientific paper

10.1088/1751-8113/41/31/315211

Spectral equivalences of the quasi-exactly solvable sectors of two classes of Schrodinger 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 PT-symmetric problems and Hermitian problems. We also find equivalences between some classes of Hermitian operators.

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