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arXiv:1001.3656 · Symmetry Integrability and Geometry Methods and Applications

PT Symmetric Schrödinger Operators: Reality of the Perturbed Eigenvalues

Emanuela Caliceti

Published Jan 20, 2010• 9 citations
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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 onedimensional x 2 (ix) for -1 < < 0.
DOI
10.3842/sigma.2010.009

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