Examples of Pseudo-bosons in quantum mechanics
Mathematical Physics
2015-05-19 v1 math.MP
Quantum Physics
Abstract
We discuss two physical examples of the so-called {\em pseudo-bosons}, recently introduced in connection with pseudo-hermitian quantum mechanics. In particular, we show that the so-called {\em extended harmonic oscillator} and the {\em Swanson model} satisfy all the assumptions of the pseudo-bosonic framework introduced by the author. We also prove that the biorthogonal bases they produce are not Riesz bases.
Keywords
Cite
@article{arxiv.1007.4349,
title = {Examples of Pseudo-bosons in quantum mechanics},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:1007.4349},
year = {2015}
}
Comments
in press in Phys. Lett. A