EIGENFUNCTIONS

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On the ratio of different norms of caloric functions and related eigenfunctions of an integral operator
《Science China Mathematics》2012年第8期1597-1612,共16页DING YuTao 1,2,& ZHANG LiQun 1,2 1 Institute of Mathematics,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China 2 Hua Loo-Keng Key Laboratory of Mathematics,Chinese Academy of Sciences,Beijing 100190,China 
supported by National Natural Science Foundation of China(Grant No.10325104);the Innovation Program at Chinese Academy of Sciences and National Basic Research Program of China under(Grant No.2011CB808002)
We investigate the ratio of L 1 and L 2 norms of the Cauchy problem solutions of heat equations with compact support initial data.The related asymptotic behavior of the eigenvalues and eigenfunctions of certain integr...
关键词：integral operators EIGENVALUES heat equation 
Structure of Hamiltonian Matrix and the Shape of Eigenfunctions：Nuclear Octupole Deformation Model
《Communications in Theoretical Physics》2002年第2期161-166,共6页XINGYong－Zhong LIJun－Qing 等 
中国科学院'百人计划'，国家重点基础研究发展计划(973计划)
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 eigenstat...
关键词：the structure of Hamiltonian matrix shape of eigenfunctions nuclear octupole deformation model quantum chaos 
Quantum Signature of Classical Chaos in a Lipkin Model:Sensitivity of Eigenfunctions to Parameter Perturbations被引量：1
《Chinese Physics Letters》1996年第5期329-332,共4页XIE Rui-hua XU Gong-ou 
Supported by National Basic Research Project"Nonlinear Science";the National Natural Science Foundation of China;in part by Tianma Foundation of Tianma Microelectronics Co.Ltd.in Shenzhen.
In this paper,xve have studied the properties of eigenfunctions in a three-level Lipkin model whose classical counterpart can exhibit classical chaos.In the regime of classical chaotic motions,sensitivity of eigenfunc...
关键词：chaos. Lipkin CHAOS 
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