PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues
Mathematical Physics
2010-01-21 v1 math.MP
Quantum Physics
Abstract
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 for .
Keywords
Cite
@article{arxiv.1001.3656,
title = {PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues},
author = {Emanuela Caliceti and Francesco Cannata and Sandro Graffi},
journal= {arXiv preprint arXiv:1001.3656},
year = {2010}
}