192 research outputs found

    Communications Biophysics

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    Contains reports on four research projects.National Institutes of Health (Grant 1 P01 GM-14940-01)Joint Services Electronics Programs (U.S. Army, U.S. Navy, and U.S. Air Force) under Contract DA 28-043-AMC-02536(E)National Aeronautics and Space Administration (Grant NsG-496)National Institutes of Health (Grant 1 TO1 GM-01555-01

    Application of the Thermal Flash Technique for Low Thermal Diffusivity Micro/Nanofibers

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    The thermal flash method was developed to characterize the thermal diffusivity of micro/nanofibers without concern for thermal contact resistance, which is commonly a barrier to accurate thermal measurement of these materials. Within a scanning electron microscope, a micromanipulator supplies instantaneous heating to the micro/nanofiber, and the resulting transient thermal response is detected at a microfabricated silicon sensor. These data are used to determine thermal diffusivity. Glass fibers of diameter 15 mu m had a measured diffusivity of 1.21x10(-7) m(2)/s; polyimide fibers of diameters 570 and 271 nm exhibited diffusivities of 5.97x10(-8) and 6.28x10(-8) m(2)/s, respectively, which compare favorably with bulk values

    Communications Biophysics

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    Contains reports on five research projects.National Institutes of Health (Grant 5 P01 GM14940-03)National Institutes of Health (Grant 5 TOl GM01555-03)National Aeronautics and Space Administration (Grant NGL 22-009-304

    Making Almost Commuting Matrices Commute

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    Suppose two Hermitian matrices A,BA,B almost commute ([A,B]δ\Vert [A,B] \Vert \leq \delta). Are they close to a commuting pair of Hermitian matrices, A,BA',B', with AA,BBϵ\Vert A-A' \Vert,\Vert B-B'\Vert \leq \epsilon? A theorem of H. Lin shows that this is uniformly true, in that for every ϵ>0\epsilon>0 there exists a δ>0\delta>0, independent of the size NN of the matrices, for which almost commuting implies being close to a commuting pair. However, this theorem does not specify how δ\delta depends on ϵ\epsilon. We give uniform bounds relating δ\delta and ϵ\epsilon. We provide tighter bounds in the case of block tridiagonal and tridiagonal matrices and a fully constructive method in that case. Within the context of quantum measurement, this implies an algorithm to construct a basis in which we can make a {\it projective} measurement that approximately measures two approximately commuting operators simultaneously. Finally, we comment briefly on the case of approximately measuring three or more approximately commuting operators using POVMs (positive operator-valued measures) instead of projective measurements.Comment: 22 pages; tighter bounds; Note: fixed mistake in proof pointed out by Filonov and Kachkovski

    Communications Biophysics

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    Contains research objectives, summary of research and reports on three research projects.National Institutes of Health (Grant 5 PO1 GM14940-04)National Institutes of Health (Grant 5 TOl GM01555-04)National Aeronautics and Space Administration (Grant NGL 22-009-304
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