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.
Bagarello, F. (2022). A Fully Pseudo-Bosonic Swanson Model. MATHEMATICS, 10(21) [10.3390/math10213954].
A Fully Pseudo-Bosonic Swanson Model
Bagarello, Fabio
2022-10-25
Abstract
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.
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