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

Abstract

In this paper we extend some previous results on weak pseudo-bosons and on their related bi-coherent states. The role of 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. (c) 2022 Elsevier Inc. All rights reserved.