We derived the formulae of central differentiation for the finding of the first and second derivatives of functions given in discrete points, with the number of points being arbitrary. The obtainedâ€¦ (More)

We analyze the obtained solutions of the non-linear ShrÃ¶dinger equation for spherically and axially symmetrical electrons density oscillations in plasma. The conditions of the oscillations processâ€¦ (More)

The derivation of the quasiclassical Lorentz invariant neutrino spin evolution equation taking into account general types of neutrino non-derivative interactions with external fields is presented. Weâ€¦ (More)

We study the numerical differentiation formulae for functions given in grids with arbitrary number of nodes. We investigate the case of the infinite number of points in the formulae for theâ€¦ (More)

We consider the effective interaction between electrons owing to the exchange of virtual acoustic waves in a low-temperature plasma. Electrons are supposed to participate in rapid radialâ€¦ (More)

Maxim Dvornikov Institute of Physics, University of SÃ£o Paulo, CP 66318, CEP 05315-970 SÃ£o Paulo, SP, Brazil; Pushkov Institute of Terrestrial Magnetism, Ionosphere and Radiowave Propagationâ€¦ (More)

We study the evolution of the coupled scalar and fermion fields within the classical field theory. We examine the case of N coupled fields in 1+3 dimensional space. The general expressions for theâ€¦ (More)

We claim that the neutrino mass squared term cannot appear in the expansion of the neutrino electric charge over the neutrino mass parameter at the one-loop level of the standard model supplied withâ€¦ (More)

X iv :p hy si cs /0 20 30 44 v3 [ ph ys ic s. pl as m -p h] 2 2 M ay 2 00 3 Approximate Solutions of Quantum Equations for Electron Gas in Plasma M.Dvornikov 1 Department of Theoretical Physics,â€¦ (More)