On Charged Mesoscopic Metallic Bubbles

We investigate the existence of stable charged metallic bubbles using the shell correction method. We find that for a given mesoscopic system of n atoms of a given metal and q less n (positive) elementary charges, a metallic bubble turns out to have a lower total energy than a compact spherical cluster, whenever the charge number q is larger than acritical charge number q_c. For a magic number (n-q) of free electrons, the spherical metallic bubble may become stable against fission.Comment: 14 pages in Latex and 5 figures in the eps forma

Towards construction of analog solver of Schroedinger and Ginzburg-Landau equation based on Long Line

The analog electronic computers are a type of circuitry used to calculate specific problems using the physical relationships between the voltages and currents following classical laws of physics. One specific class of these circuits are computers based on the interactions between passive circuit elements. Models presented by G.Kron in 1945 are the example of using such passive elements to construct a solver for the problem of free quantum particles confined by rectangular potential. Numerical validation of Kron second model is conducted for different shapes of particle confining potential. Model introduced by Kron is generalized by introduction of non-linear resistive elements what implies deformation of Schr\"odinger equation solution into Ginzburg-Landau form.Comment: 11 pages, 6 figure