19 citations · 45 across the 5 of their papers we have counts for
5 papers
Self-organization of charged particles in circular geometry
R. G. Nazmitdinov, A. Puente, M. Cerkaski +1
The basic principles of self-organization of one-component charged particles, confined in disk and circular parabolic potentials, are proposed. A system of equations is derived, th…
Reply to "Comment on 'Thomson rings in a disk' "
A. Puente, R. G. Nazmitdinov, M. Cerkaski +1
We demonstrate that our model [Phys.Rev. E91, 032312 (2015)] serves as a useful tool to trace the evolution of equilibrium configurations of one-component charged particles confine…
Thomson rings in a disk
M. Cerkaski, R. G. Nazmitdinov, A. Puente
We discuss the basic principles of a self-organization of a finite number of charged particles interacting via the 1/r Coulomb potential in a disk geometry. Our approach is based o…
Geometrical crossover in two-body systems in a magnetic field
M. Cerkaski, R. G. Nazmitdinov
An algebraic approach is formulated in the harmonic approximation to describe a dynamics of two-fermion systems, confined in three-dimensional axially symmetric parabolic potential…
Ellipsoids of U(3) model
Marcin Cerkaski
The Cartan model of SO(3)/SO(2) matrices is applied to reduce of rotational degrees of freedom on coadjoint orbits of u^*(3) Poisson algebra. The seven--dimensional Poisson algebra…