arXiv subjects

G. V. Shpatakovskaya

Publications and source records attributed to G. V. Shpatakovskaya.

3 recordsLinked to original sources

arXiv2000

Orbits in Large Aluminum Clusters: Five-Pointed Stars

The distinctions in the mass spectra of large sodium (Na_N) and aluminum (Al_N) clusters are discussed. A semiclassical method is used to describe the shell effects within a spherical jellium model. It allows one to analyze the relative role of different classical trajectories in the formation of electronic supershells in clusters of various sizes at zero and finite temperatures. A criterion for the hardness of the self-consistent potential is formulated. The conjecture that the five-point-star trajectories make the main contribution to the spectral oscillations for large soft-potential Al_N (250<N<900) clusters is substantiated. The computational results are in agreement with the mass spectra of the Al_N clusters at T ~ 300 K.

cond-mat.mes-hall↗

arXiv2000

Semiclassical description of electronic supershells in simple metal clusters

A semiclassical approach for calculating shell effects, that has been used in atomic and plasma physics, is applied to describe the electronic supershells in metal clusters. Using the spherical jellium model we give the analytical expression for the oscillating part of the binding energy of electrons as an explicit sum of contributions from supershells with quantum numbers 2n_r+l, 3n_r+l, 4n_r+l, ... This expression is written in terms of the classical characteristics of the motion of an electron with the Fermi energy in a self-consistent potential. The conditions under which a new supershell appears and the relative contribution of this shell are studied as a function of the cluster size and form of the potential. Specific calculations are performed for a square well.

cond-mat.mes-hall↗

arXiv1999

Anomalies in nonrelativistic quantum mechanics

It is shown that if a potential in a nonrelativistic system of Fermi particles has a sufficiently strong singularity, anomalies (nonzero values of quantities formally equal to zero) will probably appear. For different types of singularities (in paticular, for the Coulomb potential), anomalies associated with the energy and total number of particles in the system are calculated. These anomalies may be beneficial in deriving a semiclassical description of electron- nuclear systems.

quant-ph↗