Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families

zbMath1258.34179arXiv1005.1696MaRDI QIDQ4902628

Andrei Gabrielov, Alexandre Eremenko

Publication date: 17 January 2013

Full work available at URL: https://arxiv.org/abs/1005.1696

zbMATH Keywords

eigenvaluesingular perturbationSchrödinger operatorspectral determinant\(PT\)-symmetry

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General spectral theory of ordinary differential operators (34L05) Ordinary differential equations in the complex domain (34M99)

Related Items (4)

The limit spectral graph in semiclassical approximation for the Sturm-Liouville problem with complex polynomial potential ⋮ On Evgrafov-Fedoryuk's theory and quadratic differentials ⋮ Bender-Wu singularities ⋮ Eigenvalue dynamics of a \(\mathcal{PT}\)-symmetric Sturm-Liouville operator and criteria for similarity to a self-adjoint or a normal operator

This page was built for publication: Singular perturbation of polynomial potentials in the complex domain with applications to PT-symmetric families