We develop a microscopic model for fluorescence of a molecule (or
semiconductor quantum dot) near a small metal nanoparticle. When a molecule is
situated close to metal surface, its fluorescence is quenched due to energy
transfer to the metal. We perform quantum-mechanical calculations of energy
transfer rates for nanometer-sized Au nanoparticles and find that non-local and
quantum-size effects significantly enhance dissipation in metal as compared to
those predicted by semiclassical electromagnetic models. However, the
dependence of transfer rates on molecule's distance to metal nanoparticle
surface, d, is significantly weaker than the d−4 behavior for flat metal
surface with a sharp boundary predicted by previous calculations within random
phase approximation.Comment: 7 pages, 5 figure