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The comprehensive investigation of the temporal evolution of the diocotron instability of the plane electron strip on the linear stage of its development is performed. By using the Kelvin's method of ...
Spin 1 particle is investigated in 3-dimensional curved space of constant negative curvature. An extended helicity operator is defined and the variables are separated in a tetrad-based 10-dimensional ...
Using the finite simulation-cell homogeneous electron gas (HEG) as a model, we investigate the convergence of the correlation energy to the complete basis set (CBS) limit in methods utilising plane-wa...
Abstract: In a recent papers, Turner and Turner (2010 {\em Am. J. Phys.} {\bf 78} 905-7) and Jensen (2011 {\em Eur. J. Phys.} {\bf 32} 389-397) analysed the motion of asymmetric rolling rigid bodies o...
Analytic description to an oscillating charged-particle between the DC voltage biased plane-parallel conductors is presented. Contrary to the traditional belief in which the oscillation of charged-par...
Abstract: The problem of describing the temporal aspects of scattering the plane light wave on an uniform dielectric layer is reconsidered. In the standard model of this scattering process a correct d...
Abstract: We consider integrable discretizations of some soliton equations associated with the motions of plane curves: the Wadati-Konno-Ichikawa elastic beam equation, the complex Dym equation, and t...
In the first part of the article using a direct calculation two-dimensional motion of a particle sliding on an inclined plane is investigated for general values of friction coefficient (μ). A parametr...
Abstract: We construct a free-probability quantum Yang-Mills theory on the two dimensional plane, determine the Wilson loop expectation values, and show that this theory is the $N=\infty$ limit of U(N...
In this paper, invariant forms of refractive index, phase velocity, and group velocity are defined for plane waves in a moving medium. From the covariant wave four-vector combined with Einstein’s ligh...
Abstract: Let Z be a so-called well-behaved percolation, i.e. a certain random closed set in the hyperbolic plane, whose law is invariant under all isometries; for example the covered region in a Pois...
Recently, Delfino and Viti have examined the factorization of the three-point density correlation function P_3 at the percolation point in terms of the two-point density correlation functions P_2. Acc...
In this article we study the problem of a non-relativistic particle in the presence of a singular potential in the noncommutative plane. The potential contains a term proportional to $1/R^2$, where $...
We consider plane-symmetric spacetimes satisfying Einstein’s field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e. a ...
Recently, Del no and Viti have examined the factorization of the three-point density correlation function P3 at the percolation point in terms of the two-point density correlation functions P2. Accord...

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