Quasi-Hermiticity in infinite-dimensional Hilbert spaces

Abstract

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.

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

References in corpus (3)

• Exact PT-Symmetry Is Equivalent to Hermiticity
• Pseudo-Hermiticity and Generalized PT- and CPT-Symmetries
• Pseudo-Hermiticity, weak pseudo-Hermiticity and eta-orthogonality condition

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