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Perturbation theory of PT-symmetric Hamiltonians

Mathematical Physics 2009-11-11 v1 math.MP

Abstract

In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of \PT\PTsymmetric Hamiltonians is proved using stability techniques. We apply this method to \PT\PTsymmetric unperturbed Hamiltonians perturbed by \PT\PTsymmetric additional interactions.

Keywords

Cite

@article{arxiv.math-ph/0607039,
  title  = {Perturbation theory of PT-symmetric Hamiltonians},
  author = {E. Caliceti and F. Cannata and S. Graffi},
  journal= {arXiv preprint arXiv:math-ph/0607039},
  year   = {2009}
}