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- W2964345309 abstract "Motivated by the recent developments of pseudo-Hermitian quantum mechanics, we analyze the structure generated by unbounded metric operators in a Hilbert space. To that effect, we consider the notions of similarity and quasi-similarity between operators and explore to what extent they preserve spectral properties. Then we study quasi-Hermitian operators, bounded or not, that is, operators that are quasi-similar to their adjoint and we discuss their application in pseudo-Hermitian quantum mechanics. Finally, we extend the analysis to operators in a partial inner product space (pip-space), in particular the scale of Hilbert space s generated by a single unbounded metric operator." @default.
- W2964345309 created "2019-07-30" @default.
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- W2964345309 date "2016-01-01" @default.
- W2964345309 modified "2023-09-25" @default.
- W2964345309 title "Operator (Quasi-)Similarity, Quasi-Hermitian Operators and All that" @default.
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- W2964345309 doi "https://doi.org/10.1007/978-3-319-31356-6_4" @default.
- W2964345309 hasPublicationYear "2016" @default.
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