Some spectral equivalences between Schrodinger operators
Mathematical Physics
2009-11-13 v1 High Energy Physics - Theory
math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.0804.3684,
title = {Some spectral equivalences between Schrodinger operators},
author = {C. Dunning and K. E. Hibberd and J. Links},
journal= {arXiv preprint arXiv:0804.3684},
year = {2009}
}
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14 pages