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Pseudo-Hermiticity and Theory of Singular Perturbations |
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| Authors: | Albeverio S Kushel S |
| Institution: | 1.Institut für Angewandte Mathematik, Universität Bonn, Wegelerstr. 6, D-53115, Bonn, (Germany) ;2.SFB 256, Bonn; BiBoS, Bielefeld-Bonn; CERFIM, Locarno and USI, (Switzerland) ;3.Institute of Mathematics of the National Academy of Sciences of Ukraine, Tereshchenkovskaya 3, 01601, Kiev (Ukraine) ; |
| Abstract: | Pseudo-Hermitian operators are studied within the theory of singular perturbations. Necessary and sufficient conditions for the spectra of such operators to be real are presented. A criterion for the similarity of a pseudo-Hermitian operator to an Hermitian one is established. |
| Keywords: | pseudo-Hermitian operator singular perturbations indefinite metric operator of transition |
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