2014/01/13 by Pavel A. Andreev
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Dust and Plasma Wave Phenomena #Nonlinear system #Order (exchange) #Physics #Plasma #Quantum #Quantum electrodynamics #Quantum mechanics #Radiation #Radiation damping #physics.plasm-ph
paper · pdf · doi:10.1142/s0217984916501803
published as Mod. Phys. Lett. B Vol. 30, 1650180 (2016) · 4 pages
arxiv created 2014/01/13 · openalex publication_date 2016/05/12 · arxiv updated 2016/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider contribution of the radiation damping in the quantum hydrodynamic (QHD) equations for spinless particles. We discuss possibility of obtaining corresponding nonlinear Schrödinger equation (NLSE) for the macroscopic wave function. We compare contribution of the radiation damping with weakly (or semi-) relativistic effects appearing in the second-order on [Formula: see text]. The radiation damping appears in the third-order on [Formula: see text]. So it might be smaller than weakly relativistic effects, but it gives damping of the Langmuir waves which can be considerable.