We prove bounds of the form ∑ e∈I∩σd(H ) dist ( e, σe(H ) )1/2 ≤ L-norm of a perturbation, where I is a gap. Included are gaps in continuum one-dimensional periodic Schrödinger operators and finite gap Jacobi matrices, where we get a generalized Nevai conjecture about an L1-condition implying a Szegő condition. One key is a general new form of the Birman-Schwinger bound in gaps.

This paper presents a capacitive power transfer (CPT) system using a Class-E resonant inverter. A Class-E resonant inverter is chosen because of its ability to perform DC-to-AC inversion efficiently while significantly reducing switching losses. The proposed CPT system consists of an efficient Class-E resonant inverter and capacitive coupling formed by two flat rectangular transmitter and recei...

The aim of the present study was to examine the effect of growth-associated protein-43 (GAP-43) on bone marrow mesenchymal stem cell (BMSC) differentiation in a rat model of traumatic optic neuropathy (TON). GAP‑43 and short hairpin (sh)RNA‑GAP‑43 were inserted into pGLV5 and pGLV3 lentiviral vectors, respectively. The stable control, GAP‑43‑overexpression and GAP‑43‑knockdown cell lines (GFP/B...

A novel nanocomposite consisted of nanomaterials as (CuO:NiO) and carbon (fuel ash) were designed to absorb solar energy. Thin films were made via casting and spin coating of the dopants nanocomposite thin films, containing different concentration ratios of CuO:NiO. These thin films are precipitated on a glass and copper substrates. The optical properties of the doped fuel ash films with na...

Using the photonic analogue of the Korringa-Kohn-Rostocker (KKR) method, the spectrum of electromagnetic waves in a three-dimensional fcc lattice of homogeneous dielectric spheres with various dielectric contrast is analyzed. We confirm the main features of the spectrum obtained by the plane wave method, namely that for a sufficiently high dielectric contrast a full gap opens in the spectrum be...

We present numerical results for the magnetic susceptibility of a Heisenberg antiferromagnetic spin ladder, as a function of temperature and the spin-spin interaction strengths J ⊥ and J ||. These are contrasted with new bulk limit results for the dimer chain. A fit to the experimental susceptibility of the candidate spin-ladder compound vanadyl pyrophosphate, (VO) 2 P 2 O 7 , gives the paramet...

When a quantum-chaotic normal conductor is coupled to a superconductor, the random-matrix theory (RMT) predicts that a gap opens up in the excitation spectrum which is of universal size E(g)(RMT) approximately 0.3 Planck/t(D), where t(D) is the mean scattering time between Andreev reflections. We show that a scarred state of long lifetime t(S)>>t(D) suppresses the excitation gap over a window D...

Evidence-based movements have emerged recently in various disciplines. They are motivated to improve practice by making researchinformed decisions. However, the concept of “evidence-based” is easily misconstrued, risking a lost opportunity to bridge the gap between practitioners, academics and other stakeholders. As an inter-disciplinary field, e-HRM is likely to exhibit the research-practice g...

We have developed a Kramers–Kronig consistent analytical expression to fit the measured optical functions of hydrogenated amorphous silicon (a-Si:H) based alloys, i.e., the real and imaginary parts of the dielectric function (e1 ,e2) ~or the index of refraction n and absorption coefficient a! versus photon energy E for the alloys. The alloys of interest include amorphous silicon–germanium (a-Si...

We propose an automated protocol for designing the energy landscape of a protein energy function by optimizing its parameters. The parameters are optimized so that not only the global minimum energy conformation becomes native-like, but also the conformations distinct from the native structure have higher energies than those close to the native one. We classify low-energy conformations into thr...