From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations

Bagarello, F. & Fring, A. (2017). From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations. International Journal of Modern Physics B, 31(12), p. 1750085. doi: 10.1142/S0217979217500850

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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 D-quasi bases.

Item Type: Article
Additional Information: Electronic version of an article published as Bagarello, F. & Fring, A. (2017). From pseudo-bosons to pseudo-Hermiticity via multiple generalized Bogoliubov transformations. International Journal of Modern Physics B, 31(12), p. 1750085. http://dx.doi.org/10.1142/S0217979217500850 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijmpb.
Uncontrolled Keywords: Pseudo-bosons; pseudo-Hermiticity; Swanson model;
Subjects: Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
URI: http://openaccess.city.ac.uk/id/eprint/17412

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