Abstract
The present short note is simply intended to communicate that I have analytically diagonalized the Bogoliubov truncated Hamiltonian ~\cite{Bogo1,Bogo2}, in an interacting bosonic gas. This is the natural prosecution of my work~\cite{MS}, now denoted as (I), where the diagonalization was performed only in the subspace corresponding to zero momentum collective excitations (CE).
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