2013/04/21 by Pavel A. Andreev, Andreev, Pavel A., Felipe A. Asenjo +4
Physics and Astronomy · #Dust and Plasma Wave Phenomena #FOS: Physical sciences #Optical properties and cooling technologies in crystalline materials #Plasma Physics (physics.plasm-ph) #Solar and Space Plasma Dynamics #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.1304.5780
7 pages
arxiv created 2013/04/21 · openalex publication_date 2013/04/21 · arxiv updated 2013/04/23 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
Quantum mechanical averaging of the particle concentration operator is an effective starting point for derivation of the many-particle quantum hydrodynamic equations. In many-particle quantum systems, we have to separate the ordered motion of the local center of mass (velocity field), the thermal, and the quantum motion. The quantum mechanical average process, invoked here, is completely determined, and is different from the usual averaging processes that introduces undefined probabilities for quantum states. It is shown that the Madelung decomposition for the N-particle spinor wave function allows the correct introduction of the velocity field, and gives explicit expressions for the quantum contributions to both the momentum, and the spin flux. The formalism also contains plasma effects produced by the Coulomb and spin-spin interparticle interactions. It is shown that both interactions appear in plasma dynamics as effective electric and magnetic fields. As result we find a fully coherent description for spin quantum plasma in the self-consistent field approximation for interparticle interactions. A simple consequence - the change brought about by interparticle correlations on the propagation of electrostatic waves in a spin quantum plasma - is discussed.