A fully pseudo-bosonic Swanson model

2022/10/20 by Fabio Bagarello, Bagarello, Fabio
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum Information and Cryptography #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2210.11326

openalex publication_date 2022/10/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 bi-coherent states for the model, study some of their properties, and compare the various constructions.

Related

• Two-dimensional non commutative Swanson model and its bicoherent states
• A class of weak pseudo-bosons and their bi-coherent states
• Modified Landau levels, damped harmonic oscillator and two-dimensional pseudo-bosons
• Pseudo-bosons and Riesz bi-coherent states
• Pseudo-bosons and bi-coherent states out of \Lc²(ℝ)