Weak pseudo-bosons
Mathematical Physics
2020-04-22 v1 math.MP
Abstract
We show how the notion of {\em pseudo-bosons}, originally introduced as operators acting on some Hilbert space, can be extended to a distributional settings. In doing so, we are able to construct a rather general framework to deal with generalized eigenvectors of the multiplication and of the derivation operators. Connections with the quantum damped harmonic oscillator are also briefly considered.
Cite
@article{arxiv.2001.05219,
title = {Weak pseudo-bosons},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:2001.05219},
year = {2020}
}