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arXiv · 2310.09090

Extended coupled SUSY, pseudo-bosons and weak squeezed states

F Bagarello·F. Gargano·L. Saluto
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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 $\mathfrak{su}(1,1)$ 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.

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F Bagarello, F. Gargano, L. Saluto. 2023-10-13. Extended coupled SUSY, pseudo-bosons and weak squeezed states. https://doi.org/10.1088/1751-8121/ad02ec

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