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Spectra of PT-Symmetric Operators and Perturbation Theory

Emanuela Caliceti, Sandro Graffi, Johannes Sjoestrand

math-pharXiv:math-ph/0407052

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 Schrödinger operators are discussed.

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