Spectra of PT-Symmetric Operators and Perturbation Theory
classification
🧮 math-ph
math.MP
keywords
operatorspt-symmetricapplicationsclasscomplexcriteriadiscretediscussed
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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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