90 research outputs found
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
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