中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence

文献类型:期刊论文

作者Xing, YZ; Xu, GO; Li, JQ
刊名COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期2001-04-15
卷号35页码:417-424
关键词nonlinear resonance violation of topological structure minimum uncertainty measure effective Hamiltonian matrix Gaussian orthogonal ensemble
ISSN号0253-6102
英文摘要The properties of the eigenspace of nonintegrable quantum systems are explored in detail in the light of the viewpoint of quantum-classical completely correspondence proposed recently by Xu et al. The changes of the topological structure in the state space of autonomous quantum system due to the nonlinear resonance are displayed numerically with the uncertainty measure of a special initial state rho (alpha)(lambda) and the transformation matrix U(lambda + delta lambda,lambda -delta lambda). The statistical behavior of the subspace occupied by the state in eigenspace of quantum nonintegrable system is discussed carefully with the help of a special renormalization method. The results show that the randomness of effective Hamiltonian matrix, the transition matrix and the nearest level spacings in;this region can be described by random matrix theory. And the extent of agreement of our calculation with the prediction of GOE is in correspondence to the extent of the classical torus violation.
WOS关键词GENERAL CHARACTER ; REGULAR MOTION ; INTEGRABILITY ; CHAOS
WOS研究方向Physics
语种英语
WOS记录号WOS:000168939700008
出版者INT ACADEMIC PUBL
源URL[http://119.78.100.186/handle/113462/37298]  
专题中国科学院近代物理研究所
通讯作者Xing, YZ
作者单位1.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China
2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Peoples R China
3.Nanjing Univ, Dept Phys, Nanjing 210093, Peoples R China
4.Tianshui Normal Coll, Dept Phys, Tianshui 741000, Gansu Province, Peoples R China
推荐引用方式
GB/T 7714
Xing, YZ,Xu, GO,Li, JQ. Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2001,35:417-424.
APA Xing, YZ,Xu, GO,&Li, JQ.(2001).Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence.COMMUNICATIONS IN THEORETICAL PHYSICS,35,417-424.
MLA Xing, YZ,et al."Numerical investigation for the properties of nonintegrable quantum systems eigenspace in the line of quantum-classical correspondence".COMMUNICATIONS IN THEORETICAL PHYSICS 35(2001):417-424.

入库方式: OAI收割

来源:近代物理研究所

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