PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

[摘要] 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 ) ε for −1<ε<0.

[关键词] PT symmetry;real spectra;perturbation theory