24,198 research outputs found

    Exact Nonperturbative Unitary Amplitudes for 1->N Transitions

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    I present an extension to arbitrary N of a previously proposed field theoretic model, in which unitary amplitudes for 1−>81->8 processes were obtained. The Born amplitude in this extension has the behavior A(1−>N)tree = gN−1 N!A(1->N)^{tree}\ =\ g^{N-1}\ N! expected in a bosonic field theory. Unitarity is violated when ∣A(1−>N)∣>1|A(1->N)|>1, or when N>Ncrit≃e/g.N>\N_crit\simeq e/g. Numerical solutions of the coupled Schr\"odinger equations shows that for weak coupling and a large range of N>\ncrit, the exact unitary amplitude is reasonably fit by a factorized expression |A(1->N)| \sim (0.73 /N) \cdot \exp{(-0.025/\g2)}. The very small size of the coefficient 1/\g2 , indicative of a very weak exponential suppression, is not in accord with standard discussions based on saddle point analysis, which give a coefficient ∼1. \sim 1.\ The weak dependence on NN could have experimental implications in theories where the exponential suppression is weak (as in this model). Non-perturbative contributions to few-point correlation functions in this theory would arise at order $K\ \simeq\ \left((0.05/\g2)+ 2\ ln{N}\right)/ \ ln{(1/\g2)}inanexpansioninpowersof in an expansion in powers of \g2.$Comment: 11 pages, 3 figures (not included

    A Palladium-Catalyzed Vinylcyclopropane (3 + 2) Cycloaddition Approach to the Melodinus Alkaloids

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    A palladium-catalyzed (3 + 2) cycloaddition of a vinylcyclopropane and a β-nitrostyrene is employed to rapidly assemble the cyclopentane core of the Melodinus alkaloids. The ABCD ring system of the natural product family is prepared in six steps from commercially available materials

    Diffraction of wave packets in space and time

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    The phenomenon of wave packet diffraction in space and time is described. It consists in a diffraction pattern whose spatial location progresses with time. The pattern is produced by wave packet quantum scattering off an attractive or repulsive time independent potential. An analytical formula for the pattern at t→∞t\to\infty is derived both in one dimension and in three dimensions. The condition for the pattern to exist is developed. The phenomenon is shown numerically and analytically for the Dirac equation in one dimension also. An experiment for the verification of the phenomenon is described and simulated numerically.Comment: replaces quant-ph 0008077, 0008107, Journal of physics, A, in pres

    Lunar contour mapping system /lucom/ final report, 5 aug. 1964 - 18 mar. 1965

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    Radar sensor system for acquisition of lunar surface data - Lunar contour mapping syste

    What is the excess risk of infertility in women after genital chlamydia infection? A systematic review of the evidence

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    Methods: Twelve databases were searched, limited to peer-reviewed literature published from January 1970 to September 2007. Conference abstracts and reference lists from reviews published since 2000 and from key articles were hand-searched. Studies were selected for review if they met the following criteria: (1) the study population comprised women of child-bearing age (defined as 15–45 years) and incorporated a comparison group of women documented as "chlamydia negative"; (2) the study outcomes included either infertility or successful pregnancy; and (3) the study design was one of the following: cohort, randomised controlled trial, "before and after" study, screening trial and systematic review. Studies were excluded if they described genital infections that either did not include Chlamydia trachomatis or described genital chlamydial co-infection, in which no data were available for C trachomatis infection alone. Results: 3349 studies were identified by the search. One study satisfied the inclusion criteria, a longitudinal investigation measuring pregnancy rates in adolescent women with and without current chlamydial infection at baseline. That study reported no significant difference in subsequent pregnancy rates; however, it had serious methodological limitations, which restricted its conclusions. Conclusions: This systematic review demonstrates the absence of valid evidence on the attributable risk of post-infective tubal factor infertility after genital chlamydial infection. The findings contribute empirical data to the growing debate surrounding previous assumptions about the natural history of chlamydial infection in women

    Debye Potentials for Maxwell and Dirac Fields from a Generalisation of the Killing-Yano Equation

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    By using conformal Killing-Yano tensors, and their generalisations, we obtain scalar potentials for both the source-free Maxwell and massless Dirac equations. For each of these equations we construct, from conformal Killing-Yano tensors, symmetry operators that map any solution to another.Comment: 35 pages, plain Te
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