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Semi-relativistic hydrodynamics of three-dimensional and low-dimensional quantum plasma

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arxiv 1407.0353 v1 pith:Y2BABKUJ submitted 2014-07-01 physics.plasm-ph

Semi-relativistic hydrodynamics of three-dimensional and low-dimensional quantum plasma

classification physics.plasm-ph
keywords two-dimensionaladditiondarwinenergyequationshydrodynamickineticplasma
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Contributions of the current-current and Darwin interactions and weak-relativistic addition to kinetic energy in the quantum hydrodynamic equations are considered. Features of hydrodynamic equations for two-dimensional layer of plasma (two-dimensional electron gas for instance) are described. It is shown that the force fields caused by the Darwin interaction and weak-relativistic addition to kinetic energy are partially reduced. Dispersion of three- and two-dimensional semi-relativistic Langmuir waves is calculated.

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