Some spectral equivalences between Schrodinger operators

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 prob...

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Bibliographic Details
Published inarXiv.org
Main Authors Dunning, C, Hibberd, K E, Links, J
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 23.04.2008
Subjects
Equivalence
Mathematics - Mathematical Physics
Operators (mathematics)
Physics - High Energy Physics - Theory
Physics - Mathematical Physics
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0804.3684