A Fully Pseudo-Bosonic Swanson Model

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 bicoherent states for the model, study some of their properties, and compare the various constructions.

Automated summary

In this paper, we investigate a fully pseudo-bosonic Swanson model and demonstrate how its Hamiltonian H can be diagonalized. We also deduce the eigensystem of H+ using the general framework and results derived in the context of pseudo-bosons. Additionally, we construct the bicoherent states for the model through different approaches, analyze some of their properties, and compare the various construction methods.