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 s u ( 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.

Bagarello F., Gargano F., Saluto L. (2023). Extended coupled SUSY, pseudo-bosons and weak squeezed states. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 56(46) [10.1088/1751-8121/ad02ec].

Extended coupled SUSY, pseudo-bosons and weak squeezed states

Bagarello F.;Gargano F.
;
Saluto L.
2023-11-24

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 s u ( 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.
24-nov-2023
Settore MAT/07 - Fisica Matematica
https://arxiv.org/pdf/2310.09090.pdf
Bagarello F., Gargano F., Saluto L. (2023). Extended coupled SUSY, pseudo-bosons and weak squeezed states. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 56(46) [10.1088/1751-8121/ad02ec].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/619115
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