Pseudo-Hermiticity in infinite-dimensional Hilbert spaces

@inproceedings{Kretschmer2003PseudoHermiticityII,
  title={Pseudo-Hermiticity in infinite-dimensional Hilbert spaces},
  author={Ralph Kretschmer and Lech Szymanowski},
  year={2003}
}
In infinite-dimensional Hilbert spaces, the application of the concept of pseudo-Hermiticity to the description of non-Hermitian Hamiltonians with real spectra may lead to difficulties related to the definition of the metric operator. These difficulties are illustrated by examining some examples taken from the recent literature. We present a formulation that avoids such problems. PACS numbers: 03.65.-w, 03.65.Ca 

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Pseudo-Hermiticity in infinite-dimensional Hilbert spaces

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