PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

preprint2010arXivOpen access

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 $x^2(ix)^ε$ for $-1<ε<0$ .

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PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

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