57 citations · 248 across the 20 of their papers we have counts for
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Separated spin-up and spin-down evolution of degenerated electrons in two dimensional systems: Dispersion of longitudinal collective excitations in plane and nanotube geometry
Pavel A. Andreev, L. S. Kuz'menkov
Applying the separated spin evolution quantum hydrodynamics to two-dimensional electron gas in plane samples and nanotubes located in external magnetic fields we find new kind of w…
Many-particle quantum hydrodynamics: Basic principles and fundamental applications
P. A. Andreev, L. S. Kuz'menkov
We present a detailed derivation of the continuity, Euler, and energy balance equations from many particle Schrodinger equation. Interparticle interaction is explicitly considered…
Spin waves and spin instabilities in quantum plasmas
P. A. Andreev, L. S. Kuz'menkov
We describe main ideas of method of many-particle quantum hydrodynamics allows to derive equations for description of quantum plasma evolution. We also present definitions of colle…
Semi-relativistic hydrodynamics of three-dimensional and low-dimensional quantum plasma
Pavel Andreev, Alexey Ivanov, Leonid Kuz'menkov
Contributions of the current-current and Darwin interactions and weak-relativistic addition to kinetic energy in the quantum hydrodynamic equations are considered. Features of hydr…
Classic hydrodynamic and kinetic formalism as averaging of delta-functional particle images
L. S. Kuz'menkov, P. A. Andreev
Critical analyses of well-known methods of derivation of kinetic and hydrodynamic equations is presented. Another method of derivation of kinetic and hydrodynamic equations from cl…
Oblique propagation of longitudinal waves in magnetized spin-1/2 plasmas: Independent evolution of spin-up and spin-down electrons
Pavel A. Andreev, L. S. Kuz'menkov
We consider quantum plasmas of electrons and motionless ions. We describe separate evolution of spin-up and spin-down electrons. We present corresponding set of quantum hydrodynami…
Balance equations in semi-relativistic quantum hydrodynamics
A. Yu. Ivanov, P. A. Andreev, L. S. Kuz'menkov
Method of the quantum hydrodynamics has been applied in quantum plasmas studies. As the first step in our consideration, derivation of classical semi-relativistic (i. e. described…
Influence of finite size of molecules on spectrum of fully polarized dipolar BECs: Generalization of Bogoliubov's spectrum
Pavel A. Andreev, L. S. Kuz'menkov
We discuss complete theory of point-like particles in fully polarized BECs describing difference in behaviour of electrically- and magnetically polarized BECs. Next we present gene…
Ion sound and dust acoustic waves at finite size of plasma particles
Pavel A. Andreev, L. S. Kuz'menkov
We consider influence of finite size of ions on properties of classic plasmas. We focus our attention on the ion sound for electron-ion plasmas. We also consider dusty plasmas, whe…