Quantum hydrodynamic model of density functional theory

摘要: In this paper, we extend the method in Cai et al. (J Math Phys 53:103503, 2012) to derive a class of quantum hydrodynamic models for density-functional theory (DFT). The most popular implement DFT is Kohn–Sham equation, which transforms many-particle interacting system into fictitious non-interacting one-particle system. equation non-linear Schrodinger and corresponding Wigner can be derived as an alternative implementation DFT. We by moment closure following 2012). are globally hyperbolic thus locally wellposed. contribution potential turned nonlinear source term This work provides new possible way solve problems.