哈密顿的维度相关性与声子态密度的卷积律

计算物理 ›› 1995, Vol. 12 ›› Issue (1): 79-83.

哈密顿的维度相关性与声子态密度的卷积律

张海峰¹, 徐文兰²

1. 中国科学技术大学材料科学与工程系, 合肥 230026;
2. 中国科学院上海技物所红外国家实验室, 上海 200083

收稿日期:1993-07-26 修回日期:1994-02-26 出版日期:1995-03-25 发布日期:1995-03-25

DIMENSIONALITY COHERENCE OF HAMILTONIAN AND CONVOLUTION LAW OFPHONON DENSITIES OF STATES

Zhang Haifeng¹, Xu Wenlan²

1. Department of Materials Science and EngineeringUniversity of Science and Technology of China, Hefei 230026;
2. Infrared National Laboratory, Institute of Technological Physics of Shanghai, 200083

Received:1993-07-26 Revised:1994-02-26 Online:1995-03-25 Published:1995-03-25

摘要/Abstract

摘要： 根据一、二、三维体系晶格振动哈密顿量之间相互关系,给出了不同维度声子态密度之间的卷积规律,分析了态密度的卷积条件及卷积所得态密度所对应的物理图象,阐述了态密度卷积方法在求解晶格振动态密度时的可行性及局限性.最后,给出并讨论了本方法获得的几种不同体系的晶格振动态密度结果.

关键词: 晶格振动, 维度相关性, 卷积律

Abstract: According to the relationship among the lattice vibrational Hamiltonian of one-two-and three-dimensional systems, the convolution law of phonon densities of states at different dimension is given. Discussions are made on the condition of convolution law, the physical figuration correlated to the densities of states and the possibility and limitation of this method. At last, some results of several systems are shown and remarked.

Key words: lattice vibration, dimensionality coherence, convolution law

中图分类号:

O735

张海峰, 徐文兰. 哈密顿的维度相关性与声子态密度的卷积律[J]. 计算物理, 1995, 12(1): 79-83.

Zhang Haifeng, Xu Wenlan. DIMENSIONALITY COHERENCE OF HAMILTONIAN AND CONVOLUTION LAW OFPHONON DENSITIES OF STATES[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1995, 12(1): 79-83.