Abstract
We consider the special type of pseudo-bosonic systems that can be mapped to standard bosons by means of generalized Bogoliubov transformation and demonstrate that pseudo-Hermitian systems can be obtained from them by means of a second subsequent Bogoliubov transformation. We employ these operators in a simple model and study three different types of scenario for the constraints on the model parameters giving rise to a Hermitian system, a pseudo-Hermitian system in which the second Bogoliubov transformation is equivalent to the associated Dyson map and the one in which we obtain [Formula: see text]-quasi bases.
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