Quasi-Hermiticity in infinite-dimensional Hilbert spaces

Details Quasi-Hermiticity in infinite-dimensional Hilbert spaces Quasi-Hermiticity in infinite-dimensional Hilbert spaces

2003-05-21

arxiv.org/abs/quant-ph/0305123v2

Phys. Lett. A 325 (2004) 112

Physics

Quantum Physics

Published version. Title changed, discussion expanded; 11 pages, uses elsart.cls

Scientific paper

10.1016/j.physleta.2004.03.044

In infinite-dimensional Hilbert spaces, the application of the concept of
quasi-Hermiticity to the description of non-Hermitian Hamiltonians with real
spectra may lead to problems related to the definition of the metric operator.
We discuss these problems by examining some examples taken from the recent
literature and propose a formulation that is free of these difficulties.

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