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.
Bagarello, F. (2022). A class of weak pseudo-bosons and their bi-coherent states. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 516(2) [10.1016/j.jmaa.2022.126531].
A class of weak pseudo-bosons and their bi-coherent states
Bagarello, F
2022-12-15
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.
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