Approximate Scaling Behaviour of Local Spectral Density of States at Relatively Weak Perturbation: a Schematic Shell Model  

作　　者：WANG Wen-Ge 王文阁(Department of Physics,South-east University,Nanjing 210096;International Centre for the Study of Dynamical Systems,22100 Como,Italy Centre for Nonlinear Studies,Hong Kong Baptist University,Hong Kong,China)

机构地区：[1]Department of Physics,South-east University,Nanjing 210096 [2]International Center for the Study of Dynamical Systems,22100 Como,Italy Centre for Nonlinear Studies,Hong Kong Baptist University,Hong Kong,China

出　　处：《Chinese Physics Letters》2001年第6期731-733,共3页中国物理快报（英文版）

基　　金：Supported by the“Nonlinear Science”of National Basic Research Project of China;the Hong Kong Research Grant Council and the Hong Kong Baptist University Faculty Research Grant.

摘　　要：For a schematic shell model,we show numerically that,contrary to the behaviour of eigenfunctions,the shapes of the so-called local spectral density of states become close to their forms at extremely strong perturbation(after rescaling)even when the perturbation is relatively weak.The same phenomenon is also found for the random version of the schematic shell model.We suggest that this property of the local spectral density of states may be common to models in which the Hamiltonian matrices in independent particle states have a banded and regular structure.

关 键 词：structure PERTURBATION STATES 

分 类 号：O17[理学—数学]