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A class of weak pseudo-bosons and their bi-coherent states (2207.07406v1)
Published 15 Jul 2022 in math-ph and math.MP
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.