We study atomic decompositions and their relationship with duality and reflexivity of Banach spaces. To this end, we extend the concepts of “shrinking” and “boundedly complete” Schauder basis to the atomic decomposition framework. This allows us to answer a basic duality question: when an atomic decomposition for a Banach space generates, by duality, an atomic decomposition for its dual space. ...

Abstract We have successfully implemented the first simultaneous magneto-optical trapping (MOT) of lithium (Li) and ytterbium (Yb) atoms, towards production of ultracold polar molecules of LiYb. For this purpose, we developed the dual atomic oven which contains both atomic species as an atom source and successfully observed the spectra of the Li and Yb atoms in the atomic beams from the dual at...

X-ray computed tomography (CT) images obtained with a polychromatic X-ray source were simulated by computer for homogeneous solutions and suspensions containing a heavy element. When the K-edge of the element was near the peak energy of the polychromatic X-ray spectrum, the degree of beam hardening in the simulated CT image strongly depended on the atomic number and molar concentration of the ...

We provide a dual gravity description of heavy atomic nuclei, via AdS/CFT correspondence. In holographic QCD such as Sakai-Sugimoto model, baryons are D-branes wrapping a sphere in 10 dimensional curved spacetime, so a nucleus is a collection of A such D-branes where A is mass number of the nucleus. Quantum theory on the nucleus is ADHM-like U(A) Yang-Mills-Higgs theory on the sphere. Taking a ...