The PT Symmeter

Alexandre Eremenko, Andrei Gabrielov

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.

http://arxiv.org/abs/1105.2742
Mathematical Physics (math-ph)

Alexandre Eremenko, Andrei Gabrielov

We describe the real quasi-exactly solvable spectral locus of the PT-symmetric quartic using the Nevanlinna parametrization.

http://arxiv.org/abs/1104.4980
Mathematical Physics (math-ph)