Construction of pseudo-bosons systems
Mathematical Physics
2015-05-18 v1 math.MP
Quantum Physics
Abstract
In a recent paper we have considered an explicit model of a PT-symmetric system based on a modification of the canonical commutation relation. We have introduced the so-called {\em pseudo-bosons}, and the role of Riesz bases in this context has been analyzed in detail. In this paper we consider a general construction of pseudo-bosons based on an explicit {coordinate-representation}, extending what is usually done in ordinary supersymmetric quantum mechanics. We also discuss an example arising from a linear modification of standard creation and annihilation operators, and we analyze its connection with coherent states.
Cite
@article{arxiv.1003.4620,
title = {Construction of pseudo-bosons systems},
author = {Fabio Bagarello},
journal= {arXiv preprint arXiv:1003.4620},
year = {2015}
}
Comments
In press in Journal of Mathematical Physics