# PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues - Mathematical Physics

Abstract: We prove the reality of the perturbed eigenvalues of some PT symmetricHamiltonians of physical interest by means of stability methods. In particularwe study 2-dimensional generalized harmonic oscillators with polynomialperturbation and the one-dimensional $x^2ix^{\epsilon}$ for $-1<\epsilon<0$.

Author: Emanuela Caliceti, Francesco Cannata, Sandro Graffi

Source: https://arxiv.org/