%0 Journal Article
%T STOCHASTICITY OF THE EFFECTIVE SUBSPACE TAKEN UP BY A COHERENT STATE IN QUANTUM SYSTEM CORRESPONDING TO CLASSICAL CHAOTIC ONE<br>经典混沌系统在相应于初始相干态的量子子空间中的随机性
%A XING YONG-ZHONG
%A XU GONG-OU
%A <br>邢永忠
%A 徐躬耦
%J 物理学报
%D 1999
%I 
%X It is well known that all torus are destroyed in the Poincare' section with a certain energy E0 when a classical system is in completely chaotic state. But in its quantum counterpart, the features of the subspace taken up by a coherent state with central energy E0=E0 is not yet clear. In the present paper, taking nuclear Lipkin model as an example, we study the properties of such a subspace taken up by the coherent state of SU(3) group. An effective subspace is obtained by using a new renormalization approach. Our results show that in such an effective subspace the distribution of the nearest level spacings, the elements of effective Hamiltonian matrix, and the one-to-one correspondent map from the subspace of an integrable system to that of nonintegrable one are all consistent with predictions of random matrix theory.
%K 经典系统
%K 混沌
%K 量子子空间
%K 重整化
%K 随机性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=52C3612222CD817DFAD13D14AC9CBB4E&yid=B914830F5B1D1078&vid=B6DA1AC076E37400&iid=94C357A881DFC066&sid=CA122BD5B2FF2137&eid=786A9BAE5CF9B9EE&journal_id=1000-3290&journal_name=物理学报&referenced_num=2&reference_num=4