Mathematics (Oct 2022)

A Fully Pseudo-Bosonic Swanson Model

  • Fabio Bagarello

DOI
https://doi.org/10.3390/math10213954
Journal volume & issue
Vol. 10, no. 21
p. 3954

Abstract

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We consider a fully pseudo-bosonic Swanson model and we show how its Hamiltonian H can be diagonalized. We also deduce the eigensystem of H†, using the general framework and results deduced in the context of pseudo-bosons. We also construct, using different approaches, the bi-coherent states for the model, study some of their properties, and compare the various constructions.

Keywords