On the metric of a non-Hermitian model

We introduce a new, exactly solvable non-Hermitian model with real spectrum, and derive a formula for the metric operator in the Hilbert space, which relates the problem to a Hermitian one.

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Bibliographic Details
Published in:Reports on mathematical physics 2010-06, Vol.65 (3), p.367-378
Main Authors: Ergun, Ebru, Saglam, Mesude
Format: Article
Language:English
Subjects:
complete system
Hilbert space
Mathematical models
metric operator
non-Hermitian
Operators
pseudo-Hermitian
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Description
Summary:We introduce a new, exactly solvable non-Hermitian model with real spectrum, and derive a formula for the metric operator in the Hilbert space, which relates the problem to a Hermitian one.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(10)00015-7