An E0-semigroup α = {αt : t ≥ 0} acting on B(H) is called pure if its tail von Neumann algebra is trivial in the sense that ∩tαt(B(H)) = C1. We determine all pure E0-semigroups which have a weakly continuous invariant state ω and which are minimal in an appropriate sense. In such cases the dynamics of the state space must stabilize as follows: for every normal state ρ of B(H) there is convergen...

The very strong attractive forces between nucleons in a nucleus cause the protons and neutrons each to pair off into time reversed orbits with magnetic quantum numbers m and -m. Thus the angular momentum of each nucleon is opposite to its pairing partner, giving zero angular momentum for the pair. In nuclei with even numbers of both protons and neutrons (e–e) all the nucleons are paired off and...

We define coherent states for SU(3) using six bosonic creation and annihilation operators. These coherent states are explicitly characterized by six complex numbers with constraints. For the completely symmetric representations (n, 0) and (0, m), only three of the bosonic operators are required. For mixed representations (n,m), all six operators are required. The coherent states provide a resol...

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The one-level B-matrix approach is used to calculate alpha decay widths for several low-lying 0+, 2+, and 4+ excited states of the 0 nucleus, The interior wave functions are calculated within the ZBM (pqy2, d5rq, sq12) shell-model space with various effective interactions. The exterior wave functions are calculated from an n+ C folding model potential obtained with the M3Y interaction. A new me...

W(CNAryl)6 complexes containing 2,6-diisopropylphenyl isocyanide (CNdipp) are powerful photoreductants with strongly emissive long-lived excited states. These properties are enhanced upon appending another aryl ring, e.g., W(CNdippPh(OMe2))6; CNdippPh(OMe2) = 4-(3,5-dimethoxyphenyl)-2,6-diisopropylphenylisocyanide (Sattler et al. J. Am. Chem. Soc. 2015, 137, 1198-1205). Electronic transitions a...