in the present work we use the negativity to study the effect of rashba parameter on the thermal entanglement ofelectronic spin and subband states inside a quasi-one-dimensional rashba nanowire, in a perpendicular uniformmagnetic field. we assume that the nanowire is held at a temperature t, so that both spin and subband states, withdefinite probabilities, are present. the partially transposed ...

Fast multigrid solvers are considered for the linear systems arising from the bilinear finite element discretizations of second order elliptic equations with anisotropic diffusion. Optimal convergence of Vcycle multigrid method in the semi-coarsening case and nearly optimal convergence of V-cycle multigrid method with line smoothing in the uniformly coarsening case are established using the XZ ...

Starting from the observation that Thompson’s groups F and V are the geometry groups respectively of associativity, and of associativity together with commutativity, we deduce new presentations of these groups. These presentations naturally lead to introducing a new subgroup S• of V and a torsion free extension B• of S•. We prove that S• and B• are the geometry groups of associativity together ...

Perfect crystal neutron interferometry permits the simultaneous investigation of different interactions, like absorption, small angle scattering, and forward scattering. The coherent forward scattering of neutrons in materials or magnetic fields generates phase shifts, which can be detected with high sensitivity. The tomographic reconstruction of phase projections is similar to that of intensit...

background: an effective polymer gel dosimeter can be fabricated by varying the composition of its chemical components. materials and methods: the magat gel dosimeter formulations that used different compositions of methacrylic acid (maa) and gelatin were extensively investigated in the present study according to the r2–dose response and r2–dose sensitivity. the irradiation of magat gel was per...

Seymour’s second neighbourhood conjecture asserts that every oriented graph has a vertex whose second out-neighbourhood is at least as large as its out-neighbourhood. In this paper, we prove that the conjecture holds for quasi-transitive oriented graphs, which is a superclass of tournaments and transitive acyclic digraphs. A digraph D is called quasitransitive is for every pair xy, yz of arcs b...