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of characterizing their kinetic properties.   Energy-resolved, $P(E)$, and momentum-resolved, $P(\vec{k})$, photoemission probabilities are quite   interesting observables since they carry important information, for instance, on the parent   ion~\cite{Puschnig:2009ho,Wiessner:2014kq} ion~\cite{Puschnig_2009,Wie_ner_2014}  or on the ionization process itself~\cite{Huismans:2011kh}. itself~\cite{Huismans_2010}.  The calculation of these quantities is a difficult task because the process requires the   evaluation of the total wavefunction in an extremely large portion of space (in principle a macroscopic one)   that would be impractical to represent in real space.