摘 要：只考虑最近邻原子间的简谐力互作用‚应用 Dyson 方程推导了一维单原子纳米颗粒的位移－位移格林函数‚在 此基础上研究了声子结构‚并对晶格振动进行了量子化。 

关键词：纳米颗粒；格林函数；晶格振动；量子化

Abstract：The displacement displacement Green's functions of one dimensional monatomic nanoparticles were deduced with Dyson'equation,including the nearest neighbor harmonic interaction only On the basis of the theory of Green's function,the phonon structures were studied,and the lattice vibrations were quantized

Keywords：nanoparticle;Green's function;lattice vibration;quantization