A class of weak pseudo-bosons and their bi-coherent states

DOI10.1016/J.JMAA.2022.126531zbMATH Open1507.81202arXiv2207.07406MaRDI QIDQ6405077

Publication date: 15 July 2022

Abstract: In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of {em compatible} functions is discussed in details, and some examples are considered. The pseudo-bosonic ladder operators analysed in this paper generalize significantly those considered so far, and a class of new diagonalizable manifestly non self-adjoint Hamiltonians are deduced.

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Coherent states (81R30) Canonical models for contractions and nonselfadjoint linear operators (47A45) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12) Bosonic systems in quantum theory (81V73)

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