Quasi-exactly solvable quartic: real algebraic spectral locus
Alexandre Eremenko, Andrei Gabrielov
TL;DR
This paper explores the spectral properties of a PT-symmetric quartic potential, providing a detailed description of its real quasi-exactly solvable spectral locus using Nevanlinna parametrization.
Contribution
It introduces a novel approach to analyze the spectral locus of PT-symmetric quartics through Nevanlinna parametrization, advancing understanding of quasi-exact solvability.
Findings
Characterization of the real spectral locus for PT-symmetric quartic potentials.
Application of Nevanlinna parametrization to spectral analysis.
Identification of conditions for quasi-exact solvability.
Abstract
We describe the real quasi-exactly solvable spectral locus of the PT-symmetric quartic using the Nevanlinna parametrization.
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