Spectra of PT-Symmetric Operators and Perturbation Theory
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
Criteria are formulated both for the existence and for the non-existence of complex eigenvalues for a class of non self-adjoint operators in Hilbert space invarariant under a particular discrete symmetry. Applications to the PT-symmetric Schr\"odinger operators are discussed.
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Cite
@article{arxiv.math-ph/0407052,
title = {Spectra of PT-Symmetric Operators and Perturbation Theory},
author = {Emanuela Caliceti and Sandro Graffi and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:math-ph/0407052},
year = {2009}
}
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14 pages