关于一维三元准周期模型的讨论  

DISCUSSION ON ONE-DOMENSIONAL TERNARY QUASIPERIODIC MODELS

作　　者：周培勤[1,2] 李志胜[1,2] 

机构地区：[1]内蒙古师范大学物理系 [2]呼和浩特教育学院物理系

出　　处：《内蒙古师范大学学报（自然科学汉文版）》1998年第3期187-193,共7页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：内蒙古自然科学基金

摘　　要：研究了替代关系为Ａ→ＡＢ，Ｂ→Ｃ，Ｃ→Ａ序列上的一维三元类Ｆｉｂｏｎａｃｃｉ模型的结构、能谱和波函数的性质，发现这个模型以无序性为主要特征，准周期性表现的并不明显，不应作为理论研究中的准周期模型．我们给出一个替代关系为Ａ→ＡＢＣ，Ｂ→Ａ，Ｃ→Ｂ序列上的三元广义Ｆｉｂｏｎａｃｉ模型，呈现出明显的准周期性，可作为一个三元准周期模型进一步讨论．The Fourier transformation of the sequence,the energy spectrum and second moments of the wavefunctions have been studied for a one dimensional ternary model generated by the substitution A→AB,B→C,C→A ,commonly called ternary Fibonacci class model.It is found that this model behaves disordered features,it should not be regarded as a quasiperiodic model in theoretical studies.A ternary general Fibonacci model generated by the substitution A→ABC,B→A,C→B was proposed in this paper,which behaves abvious quasiperiodic features.This model can be convinced a quasiperiodic model for further discussion.

关 键 词：Fibonacci模型 三元准周期模型 准晶 

分 类 号：O753.3[理学—晶体学]