Perturbation theory of PT-symmetric Hamiltonians

Abstract

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.

References in corpus (1)

• Coupling of eigenvalues of complex matrices at diabolic and exceptional points

Cited by in corpus (11)

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• PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues
• Metric operators for non-Hermitian quadratic su(2) Hamiltonians
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• Discrete spectrum of thin PT-symmetric waveguide