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.     

Lifschitz tails for the Anderson model

We present, in an expository way, an elementary rigorous proof (patterned after an argument of Kirsch-Martinelli) that the Anderson model has Lifschitz tails in very great generality.Research partially supported by USNSF Grant No. MCS-81-20833.     

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%).

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( ) -CH : k₁=1.1×10⁷ M^–1–1 ( 25%)