We address truncated states of continuous variable systems and analyze their statistical properties numerically by generating random states in finite-dimensional Hilbert spaces. In particular, we focus to the distribution of purity and non-Gaussianity for dimension up to d = 21. We found that both quantities are distributed around typical values with variances that decrease for increasing dimen...

For any module M over an associative ring R, let σ[M ] denote the smallest Grothendieck subcatgory of Mod-R containingM . If σ[M ] is locally finitely presented the notions of purity and pure injectivity are defined in σ[M ]. In this paper the relationship between these notions and the corresponding notions defined in Mod-R are investigated, and the connection between the resulting Ziegler spec...

In this study, 16O(p,α)13N nuclear reaction was chosen as the best method of N-13 production. High purity natural water targets were bombarded by 18 MeV protons with an intensity of 8μA. A production yield of 13.5 mCi/μAh was obtained. Chemical modification of 13N-nitrogen oxides into [13N]NH3 was accomplished using De Varda's catalyst. Chemical, radiochemical and radionuclide purity cont...