Three formulae connecting the spectral elements to the potential are derived for the tridimensional Schrdinger equation with spherical symmetry. They make apparent the natural character of the Marchenko inversion procedure. They indicate that the presence either of bound states or of spectral ...
MXenes are an emerging family of 2D materials that have attracted significant attention in materials science and nanotechnology due to their unique physical and chemical properties [42]. The general formula for MXenes is Mn+1XnTx(n = 1–4), where M represents an early transition metal (...
4c). These newly identified genes expand our understanding of potential regulators involved in establishing the body plan. Fig. 4: 3D alignment to reveal body axes and spinal cord patterning. a Heatmap plot showing the smoothed spatial expression pattern of Hox family genes along the A–P axis...
To assess the exfoliability of potential 2D materials from their bulk counterparts, we derived an elasticity-based-exfoliability measure based on an exfoliation mechanics model. The proposed measure has a clear physical meaning and is universally applicable to all material systems. We used this ...
b_{\frac{1}{\mu (t)}}, \end{aligned}$$ given by the formula of variation of parameters $$\begin{aligned} v_0(\vert y\vert ,t)&=2\omega _3\int _{\vert y\vert }^{\frac{1}{\mu (t)}} \frac{1}{\rho ^2} \int _{0}^{\rho }\frac{s}{1+s^{2-\varepsilon }}\...
This method estimates the change in background potential energy in the lake associated with numerical diffusion and at each time step removes it by sharpening the metalimnion in each water column (Laval et al., 2003). This method is most effective in simple domains without strong horizontal ...
We consider a 1-particle 3-dimensional Schrdinger operator with Coulomb potential perturbed by a compactly supported function q(x)(x ∈ R 3 ) and by an external electric field. In contrast with the usual treatment of Stark effect, we assume that the electric field is homogeneous only in a...
Please avoid abbreviations and formulae, where possible, unless they are established and widely understood, e.g., DNA). Author names. Provide the given name(s) and family name(s) of each author. The order of authors should match the order in the submission system. Carefully check...
New simple correlation formula for the drag coefficient of non-spherical particles. Powder Technol. 184, 361–365 (2008). Article Google Scholar Belmonte, A., Eisenberg, H. & Moses, E. From flutter to tumble: inertial drag and Froude similarity in falling paper. Phys. Rev. Lett. 81, ...
spacious Schottky barrier width is also essential. When the Schottky barrier width is very tiny, the tunneling possibility will significantly increase18, resulting in the large reverse tunneling current of diodes. The Schottky barrier widthWof the Schottky junction can be obtained by following formula3...