The equation of motion a microparticle in various force fields is the Schr¨odinger wave equation.Many questions quantum mechanics, particular thermal radiation electromagneticwaves, lead to problem separability singular differential operators. One such operator isthe above Schr?dinger operator. In this paper, named studied by methods offunctional analysis. Found sufficient conditions for existe...

This paper highlights the relation between the shape of iron oxide (Fe3O4) particles and their magnetic sensing ability. We synthesized Fe3O4 nanocubes and nanospheres having tunable sizes via solvothermal and thermal decomposition synthesis reactions, respectively, to obtain samples in which the volumes and body diagonals/diameters were equivalent. Vibrating sample magnetometry (VSM) data show...

The presence of a narrow shape and size distribution for magnetite crystals within magnetotactic organisms suggests strongly that there are species-specific mechanisms that control the process of biomineralization. In order to explore the extent of this control, cultures of Aquaspirillum magnetotacticum in the exponential growth phase were exposed to increasing magnetic pulses with the aim of s...

CoCrPt films for longitudinal recording media were investigated as a function of substrate bias applied during the deposition. CoCrPt films were deposited on an underlayer stack consisting of glass/NiAl/CrMn with bias applied only during deposition of the CoCrPt layer. A strong dependence of the CoCrPt coercivity on the substrate bias was observed when a thin hexagonal-close-packed CoCrTa templ...

Lorentz microscopy was used to investigate the domain structure in an Fe0.5Co0.5 80Nb4B13Ge2Cu1 alloy annealed at 500, 550, and 610 °C, respectively, for 1 h. The average grain size d, observed by conventional transmission electron microscopy, is 10 nm for the alloy annealed at 500 °C, 18 nm for 550 °C, and 90 nm for 610 °C. The domain structure of sample annealed at 500 °C exhibits few pinning...

A new boundary integral operator is introduced for the solution of the sound-soft acoustic scattering problem, i.e. for the exterior problem for Helmholtz equation with Dirichlet boundary conditions. We prove that this integral operator is coercive in L(Γ) (where Γ is the surface of the scatterer) for all Lipschitz star-shaped domains. Moreover, the coercivity is uniform in the wavenumber k = ω...

Highly Al3þ ion doped nanocrystalline SrFe12 xAlxO19 (0rxr12), were prepared by the auto-combustion method and heat treated in air at 1100 1C for 12 h. The phase identification of the powders performed using x-ray diffraction show presence of high-purity hexaferrite phase and absence of any secondary phases. With Al3þ doping, the lattice parameters decrease due to smaller Al3þ ion replacing Fe3...

Cobalt nanowires with controlled diameters have been synthesized using electrochemical deposition in etched ion-track polycarbonate membranes. Structural characterization of these nanowires with diameter 70, 90, 120 nm and length 30 μm was performed by scanning electron microscopy, high-resolution transmission electron microscopy, and X-ray diffraction techniques. The as-prepared wires show uni...