Some spectral equivalences between Schrodinger operators

Dunning, Clare and Hibberd, Katrina E. and Links, Jon (2008) Some spectral equivalences between Schrodinger operators. Journal of Physics A: Mathematical and Theoretical, 41 (31). pp. 315211-315212. ISSN 1751-8113 . (doi:https://doi.org/10.1088/1751-8113/41/31/315211 ) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

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Official URL http://dx.doi.org/10.1088/1751-8113/41/31/315211

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.

Item Type:	Article
Additional information:	Article No. 315211
Subjects:	Q Science > QA Mathematics (inc Computing science)
Divisions:	Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Applied Mathematics
Depositing User:	Clare Dunning
Date Deposited:	13 Jan 2010 15:58 UTC
Last Modified:	16 Jun 2014 11:51 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/23096 (The current URI for this page, for reference purposes)