City Research Online

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), article number 1750085. doi: 10.1142/s0217979217500850

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.

Publication 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.
Publisher Keywords: Pseudo-bosons; pseudo-Hermiticity; Swanson model;
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
SWORD Depositor:
[thumbnail of 1605.09025.pdf]
Preview
Text - Accepted Version
Download (226kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login