6533b831fe1ef96bd1299ac1

RESEARCH PRODUCT

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

F Bagarello

subject

Applied MathematicsFOS: Physical sciencesMathematical Physics (math-ph)Settore MAT/07 - Fisica MatematicaMathematical PhysicsAnalysisPseudo-bosonic operators Compatible generalized eigenstates Weak bi-coherent states

description

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.

https://doi.org/10.1016/j.jmaa.2022.126531