Two-parametric PT-symmetric quartic family
Alexandre Eremenko, Andrei Gabrielov
TL;DR
This paper characterizes the real spectral locus of a two-parameter PT-symmetric quartic oscillator family, identifying parameter regions with entirely real eigenvalues, thus extending previous spectral results.
Contribution
It introduces a new parametrization of the spectral locus and extends the known parameter regions with real eigenvalues for PT-symmetric quartic oscillators.
Findings
Identified parameter regions with all real eigenvalues.
Provided a new parametrization of the spectral locus.
Extended previous results on PT-symmetric quartic oscillators.
Abstract
We describe a parametrization of the real spectral locus of the two-parametric family of PT-symmetric quartic oscillators. For this family, we find a parameter region where all eigenvalues are real, extending the results of Dorey, Dunning, Tateo and Shin.
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