9,384 research outputs found

    E_0-Semigroups for Continuous Poduct Systems: The Nonunital Case

    Full text link
    Let B be a sigma-unital C*-algebra. We show that every strongly continuous E_0-semigroup on the algebra of adjointable operators on a full Hilbert B-module E gives rise to a full continuous product system of correspondences over B. We show that every full continuous product system of correspondences over B arises in that way. If the product system is countably generated, then E can be chosen countable generated, and if E is countably generated, then so is the product system. We show that under these countability hypotheses there is a one-to-one correspondence between E_0-semigroup up to stable cocycle conjugacy and continuous product systems up isomorphism. This generalizes the results for unital B to the sigma-unital case

    Equilibrium Beam Distribution and Halo in the LHC

    Get PDF
    The equilibrium LHC beam distribution at large amplitudes is a crucial input to the collimation and machine protection design, as well as to background studies. Its estimation requires a knowledge of the diffusion rates at which beam particles are transported to large transverse or longitudinal amplitudes. Important known mechanisms of particle diffusion include Touschek scattering, synchrotron radiation, intrabeam scattering (IBS) the nonlinear motion due to the long-range (LR) beam-beam (BB) collisions at top energy, persistent-current field errors during injection and at the start of acceleration, and Coulomb scattering off the residual gas. We summarize the expected contributions from different sources, introduce a diffusion model, and illustrate the evolution of the beam distribution at 7 TeV

    Phosphorus donors in highly strained silicon

    Full text link
    The hyperfine interaction of phosphorus donors in fully strained Si thin films grown on virtual Si1−x_{1-x}Gex_x substrates with x≀0.3x\leq 0.3 is determined via electrically detected magnetic resonance. For highly strained epilayers, hyperfine interactions as low as 0.8 mT are observed, significantly below the limit predicted by valley repopulation. Within a Green's function approach, density functional theory (DFT) shows that the additional reduction is caused by the volume increase of the unit cell and a local relaxation of the Si ligands of the P donor.Comment: 12 pages, 3 figure

    A Textured Silicon Calorimetric Light Detector

    Full text link
    We apply the standard photovoltaic technique of texturing to reduce the reflectivity of silicon cryogenic calorimetric light detectors. In the case of photons with random incidence angles, absorption is compatible with the increase in surface area. For the geometrically thin detectors studied, energy resolution from athermal phonons, dominated by position dependence, is proportional to the surface-to-volume ratio. With the CaWO4 scintillating crystal used as light source, the time constants of the calorimeter should be adapted to the relatively slow light-emission times.Comment: Submitted to Journal of Applied Physic
    • 

    corecore