%0 Journal Article
%T PT Symmetric Schr dinger Operators: Reality of the Perturbed Eigenvalues
%A Emanuela Caliceti
%A Francesco Cannata
%A Sandro Graffi
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X We prove the reality of the perturbed eigenvalues of some PT symmetric Hamiltonians of physical interest by means of stability methods. In particular we study 2-dimensional generalized harmonic oscillators with polynomial perturbation and the one-dimensional x^2(ix)^ŠĆ for  1<ŠĆ<0.
%K PT symmetry
%K real spectra
%K perturbation theory
%U http://dx.doi.org/10.3842/SIGMA.2010.009