Spectra of PT-Symmetric Operators and Perturbation Theory
arXiv:math-ph/0407052 · doi:10.1088/0305-4470/38/1/013
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.
14 pages