Spectra of PT-Symmetric Operators and Perturbation Theory

Details Spectra of PT-Symmetric Operators and Perturbation Theory Spectra of PT-Symmetric Operators and Perturbation Theory

2004-07-22

arxiv.org/abs/math-ph/0407052v1

Physics

Mathematical Physics

14 pages

Scientific paper

10.1088/0305-4470/38/1/013

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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