On a class of Sturm-Liouville operators which are connected to PT symmetric problems |
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| Authors: | Tomas Ya. Azizov Carsten Trunk |
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| Affiliation: | 1. Voronezh State University, Faculty of Mathematics, Universitetskaya pl. 1, 394006 Voronezh, Russia;2. Fachgebiet Angewandte Funktionalanalysis, Technische Universität Ilmenau, PF 100565, D-98684 Ilmenau, Deutschland |
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| Abstract: | ![]()
A prominent class of  -symmetric Hamiltonians is  for some nonnegative number N. The associated eigenvalue problem is defined on a contour Γ in a specific area in the complex plane (Stokes wedges), see [3, 5]. In this short note we consider the case N = 2 only. Here we elaborate the relationship between Stokes lines and Stokes wedges and well-known limit point/limit circle criteria from [6,10,11]. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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