The PT Symmeter » Andrei Gabrielov http://ptsymmetry.net PT Symmetry articles and information Wed, 24 Dec 2014 09:54:41 +0000 en hourly 1 http://wordpress.org/?v=3.0.4 Two-parametric PT-symmetric quartic family http://ptsymmetry.net/?p=369&utm_source=rss&utm_medium=rss&utm_campaign=two-parametric-pt-symmetric-quartos-family http://ptsymmetry.net/?p=369#comments Mon, 16 May 2011 10:11:49 +0000 dwh http://ptsymmetry.net/?p=369 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)

]]> http://ptsymmetry.net/?feed=rss2&p=369 0 Quasi-exactly solvable quartic: real algebraic spectral locus http://ptsymmetry.net/?p=282&utm_source=rss&utm_medium=rss&utm_campaign=quasi-exactly-solvable-quartic-real-algebraic-spectral-locus http://ptsymmetry.net/?p=282#comments Wed, 27 Apr 2011 22:57:12 +0000 dwh http://ptsymmetry.net/?p=282 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)

]]> http://ptsymmetry.net/?feed=rss2&p=282 0