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This is a survey paper giving a self-contained account of Shelah's theory of the pcf function pcf(a) = {cf(PI a/D, < D): D is an ultrafilter on a}, where a is a set of regular cardinals such that \a\ < min(a). We also give several applications of the theory to cardinal arithmetic, the exi...
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We present a theoretical model for studying the effects of an electromagnetic (laser) field on the process of neutralization of an ion during scattering by a surface. The model is part of a many-electron theory within the framework of a time-dependent version of the Anderson-Newns model. Where we sp...
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A many-electron theory of resonant charge transfer, originally formulated for the scattering of an atom with an empty valence orbital from a surface, is extended to treat the case where the valence orbital is initially occupied by one or two electrons. The scattering of He and He+ from the Si(001) s...
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The electron transmission properties of a semiconducting wire are investigated via the tight-binding approximation. The wire is modeled as a chain of sp-hybrid orbitals, including overlap effects. The transmission probability is calculated using the tensorial Green function method. An impurity in th...
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The current state of knowledge concerning liftings for noncomplete probability spaces is discussed. This is a somewhat expanded version of the author's talk given at the 1991 Summer Conference on General Topology and Applications in Honor of Mary Ellen Rudin and Her Work.
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We consider the problem of comparing the suitability of various magnetic lattices for the spin polarization of neutrons. To do this, we use a discrete model to construct measures of transmission through one-dimensional lattices. We examine the model for non-periodic lattices that are generated from ...
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Infinite series of the type Sigma(n=1)(infinity)(alpha/2)n/n 1/n!F-2(1)(-n,b;gamma;y) are investigated. Closed-form sums are obtained for alpha a positive integer, alpha = 1, 2, 3,.... The limiting case of b --> infinity, after gamma is replaced with x(2)/b, leads to Sigma(n=1)(infinity)(alpha/2)...
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