13 citations · 30 across the 5 of their papers we have counts for
5 papers
Exchange Coulomb interaction in nanotubes: Dispersion of Langmuir waves
P. A. Andreev, A. Yu. Ivanov
Microscopic derivation of the Coulomb exchange interaction for electrons located on the nanotubes is presented. Our derivation is based on the many-particle quantum hydrodynamic me…
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…
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 quantum energy equation on electronic plasma oscillations
A. Yu. Ivanov, L. S. Kuz'menkov
Five-moment approximation in hydrodynamics includes not only continuity equation and momentum balance equation, but also energy equation. Set of hydrodynamic equations is presented…
Langmuir waves dispersion in semi-relativistic spinless quantum plasmas
A. Yu. Ivanov, P. A. Andreev, L. S. Kuzmenkov
Many particle quantum hydrodynamics based on the Darwin Hamiltonian (the Hamiltonian corresponding to the Darwin Lagrangian) is considered. A force field appearing in corresponding…