2015/12/25 by B.J.B. Crowley, Basil J B Crowley, Crowley, Basil J B
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mechanical and Optical Resonators #Molecular Junctions and Nanostructures #Plasma Physics (physics.plasm-ph) #Quantum Electrodynamics and Casimir Effect #Spectroscopy and Quantum Chemical Studies #Surface and Thin Film Phenomena #physics.plasm-ph
paper · pdf · doi:10.48550/arxiv.1512.08045
28 pages of which 4 blank. No figures
arxiv created 2015/12/25 · openalex publication_date 2015/12/25 · arxiv updated 2015/12/29 · openalex created_date 2022/09/05 · openalex updated_date 2026/07/28
This report addresses the moments, \mathfrakGn( q ) = ∫ - ∞ + ∞ ωnS( q,ω )dω, n ∈ ℕ, n ≥ - 1, of the quantum mechanical dynamic structure factor S( q,ω ) for a one-component Coulomb plasma in thermodynamic equilibrium. The Fluctuation Dissipation Theorem relates these moments to integrals involving the imaginary part of the inverse longitudinal dielectric function, with the odd moments in particular being equivalent to the odd moments of the imaginary part of the inverse dielectric function. Application of the Generalized Plasmon Pole Approximation arXiv:1508.05606 [physics.plasm-ph] to a weakly-coupled non-degenerate plasma, leads to general formulae expressed in terms of polynomial functions. Explicit forms of these functions are given for n ≤ 20. These formulae are generalized to degenerate and partially degenerate plasmas, in small-q (long-wavelength) regimes.