Structure of Hamiltonian Matrix and the Shape of Eigenfunctions：Nuclear Octupole Deformation Model  

作　　者：XINGYong－Zhong LIJun－Qing 等 

机构地区：[1]CenterofTheoreticalNuclearPhysics,NationalLaboratoryofHeavy－IonAccelerator,Lanzhou730000,China

出　　处：《Communications in Theoretical Physics》2002年第2期161-166,共6页理论物理通讯（英文版）

基　　金：中国科学院'百人计划'，国家重点基础研究发展计划(973计划)

摘　　要：The structure of a Hamiltonian matrix for a quantum chaotic system, the nuclear octupole deformation model, has been discussed in detail. The distribution of the eigenfunctions of this system expanded by the eigenstates of a quantum integrable system is studied with the help of generalized Brillouin?Wigner perturbation theory. The results show that a significant randomness in this distribution can be observed when its classical counterpart is under the strong chaotic condition. The averaged shape of the eigenfunctions fits with the Gaussian distribution only when the effects of the symmetry have been removed.

关 键 词：the structure of Hamiltonian matrix shape of eigenfunctions nuclear octupole deformation model quantum chaos 

分 类 号：O413.1[理学—理论物理]