| Structure of Hamiltonian Matrix and the Shape of Eigenfunctions：Nuclear Octupole Deformation Model |
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| 引用本文： | XINGYong－Zhong LIJun－Qing 等. Structure of Hamiltonian Matrix and the Shape of Eigenfunctions：Nuclear Octupole Deformation Model[J]. 理论物理通讯, 2002, 37(2): 161-166 |
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| 作者姓名： | XINGYong－Zhong LIJun－Qing 等 |
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| 作者单位： | CenterofTheoreticalNuclearPhysics,NationalLaboratoryofHeavy－IonAccelerator,Lanzhou730000,China |
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| 基金项目： | 中国科学院"百人计划"，国家重点基础研究发展计划(973计划) |
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| 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.
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| 关 键 词： | 量子力学 哈密顿矩阵结构 量子混沌 |
Structure of Hamiltonian Matrix and the Shape of Eigenfunctions: Nuclear Octupole Deformation Model |
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| XING Yong-Zhong,LI Jun-Qing,LIU Fang,ZUO Wei. Structure of Hamiltonian Matrix and the Shape of Eigenfunctions: Nuclear Octupole Deformation Model[J]. Communications in Theoretical Physics, 2002, 37(2): 161-166 |
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| Authors: | XING Yong-Zhong LI Jun-Qing LIU Fang ZUO Wei |
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| Abstract: | The structure of a Hamiltonian matrix for a quantum chaotic system, the nuclear octupole deformationmodel, has been discussed in detail. The distribution of the eigenfunctions of this system expanded by the eigenstates ofa quantum integrable system is studied with the help ofgeneralized Brillouin-Wigner pcrturbation theory. The resultsshow that a significant randomness in this distribution can be observed when its classical counterpart is under the strongchaotic condition. The averaged shape of the eigenfunctions fits with the Gaussian distribution only when the effects ofthe symmetry have been removed. |
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| Keywords: | the structure of Hamiltonian matrix shape of eigenfunctions nuclear octupole deformation model quantum chaos |
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