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arxiv: math-ph/0607039 · v1 · submitted 2006-07-19 · 🧮 math-ph · math.MP

Perturbation theory of PT-symmetric Hamiltonians

classification 🧮 math-ph math.MP
keywords hamiltonianssymmetricperturbationperturbedtheoryadditionalapplyclass
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In the framework of perturbation theory the reality of the perturbed eigenvalues of a class of $\PT$symmetric Hamiltonians is proved using stability techniques. We apply this method to $\PT$symmetric unperturbed Hamiltonians perturbed by $\PT$symmetric additional interactions.

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