Abstract
AbstractWe consider a model of coupled oscillators which can be seen as a gain and loss system. In the attempt to quantize the system, we propose a new definition of multiplication between distributions, and we check that this definition can be adopted when checking the biorthonormality of the eigenstates of the Hamiltonian H of the system, and of its adjoint $$H^\dagger $$
H
†
. In the analysis carried out here, the role of weak pseudo-bosonic ladder operators is relevant.
Funder
Università degli Studi di Palermo
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Physics and Astronomy,General Mathematics
Cited by
1 articles.
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1. Extended coupled SUSY, pseudo-bosons and weak squeezed states;Journal of Physics A: Mathematical and Theoretical;2023-10-27