Extended coupled SUSY, pseudo-bosons and weak squeezed states
Mathematical Physics
2023-10-16 v1 math.MP
Abstract
In this paper we consider squares of pseudo-bosonic ladder operators and we use them to produce explicit examples of eigenstates of certain operators satisfying a deformed Lie algebra. We show how these eigenstates may, or may not, be square-integrable. In both cases, a notion of biorthonormality can be introduced and analyzed. Some examples are discussed in details. We also propose some preliminary results on bi-squeezed states arising from our operators.
Keywords
Cite
@article{arxiv.2310.09090,
title = {Extended coupled SUSY, pseudo-bosons and weak squeezed states},
author = {F Bagarello and F. Gargano and L. Saluto},
journal= {arXiv preprint arXiv:2310.09090},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2102.11738