Separate and joint analyticity in Lie groups representations

We prove that for any Lie group there exists a basis of its Lie Algebra in which for any representation of the Lie group in a Hilbert space, a vector which is analytic for every operator representing that basis is an analytic vector for the representation.     

Pointwise bounds on eigenfunctions and wave packets inN-body quantum systems

By using Agmon's geodesic ideas to single out particular regions in path space, we obtain optimal lower bounds on the leading behavior for the fall off of the ground state of multiparticle system.Research partially supported by UNSF Grant MCS-78-01885On leave from: Départment de Mathématiques, Université de Saint Etienne, 23 rue P. Mìchelon, F-42023 Saint Etienne Cédex, France     

Rate constants for photochemically induced hydrogen abstraction calculated from spin trapping rates

ESR spin trapping method has been applied to calculate the rate constant for -hydrogen abstraction from ethylbenzene by triplet anthraquinone: k₁=1.1×10⁷ M^–1 s^–1 (error of estimation 25%).

---

( ) -CH : k₁=1.1×10⁷ M^–1–1 ( 25%)

     

Ermittlung von Bildungskurven nach J. Bjerrum mittels differenzieller Dampfdruckosmometrie

Determination of Bjerrum Formation Curves by Differential Vapour Pressure Osmometry . A differential vapour pressure osmometry method for the determination of Bjerrum formation curves is described. This technique allows the determination of formation constants in nonaqueous solvent systems.     

Einsatz gas-chromatographischer Kolonnen hoher Trennleistung in direkter Kombination mit Massenspektrometer

A routine instrument for the combination of a single focusing mass spectrometer with high efficiency tubular as well as packed GC columns using a molecule separator is described. The application of the unit in the analysis of cigarette smoke is given.     

Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie

Various questions of classical differential geometry lead to the problem of determining all those hypersurfaces of euclidean space for which the covariant derivative of the second fundamental form vanishes identically. In the first part of this note, we investigate these hypersurfaces; the result is summarized in the theorem of the opening paragraph, whose proof is based in the decomposition theorem of De Rham (see e.g. [6], pp. 180–186). Applying this result in the second part of the note, we give local characterizations of the Euclidean sphere.     

Diagrammatic techniques in the Martin-Schwinger-Puff many-body theory

In an attempt to understand the connection between the Martin-Schwinger-Puff Green's function approach to the many-body problem and the diagrammatic approach of Brueckner and Goldstone, the perturbation expansion of the Green's function theory is studied. This expansion leads naturally to a representation of the theory by two sets of time-dependent diagrams—the kinetic energy diagrams and the potential energy diagrams. Rules are given for writing each time-dependent diagram as a sum of time-independent diagrams. Complications arise in the application of these rules to bubble diagrams. A special simple treatment of these diagrams is then proposed. There exists a simple relation between families of kinetic diagrams and potential diagrams. This relation stems from a rather general thermodynamic identity. Both the relation and its thermodynamic origin are described. As a consequence of these studies, some connections between the Brueckner-Goldstone theory and the Green's function theory are made.