Complex WKB Analysis of a PT Symmetric Eigenvalue Problem

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dc.creatorSorrell, Mark
dc.date2007-03-09
dc.date2007-06-27
dc.date.accessioned2026-07-07T11:23:47Z
dc.date.available2026-07-07T11:23:47Z
dc.descriptionThe spectra of a particular class of PT symmetric eigenvalue problems has previously been studied, and found to have an extremely rich structure. In this paper we present an explanation for these spectral properties in terms of quantisation conditions obtained from the complex WKB method. In particular, we consider the relation of the quantisation conditions to the reality and positivity properties of the eigenvalues. The methods are also used to examine further the pattern of eigenvalue degeneracies observed by Dorey et al. in [1,2].
dc.description22 pages, 13 figures. Added references, minor revisions
dc.identifierhttps://arxiv.org/abs/math-ph/0703030
dc.identifierhttp://arxiv.org/abs/math-ph/0703030
dc.identifierJ.Phys.A40:10319-10336,2007
dc.identifierdoi:10.1088/1751-8113/40/33/023
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195014
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.subject34L40;34M40;81Q20
dc.titleComplex WKB Analysis of a PT Symmetric Eigenvalue Problem
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