arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0811.1240nucl-thnucl-ex
收藏

随机多体量子系统的本征值关联和基态角动量分布

Eigenvalues correlations and the distribution of ground state angular momenta for random many-body quantum systems

J. Barea, R. Bijker, A. Frank

摘要:

本文用本征态之间的相关系数(协方差)分析了在具有随机两体相互作用的多体量子系统中,角动量L=0的基态的优势.结果表明,Chau { \it et al.}可以用能量本征值之间的相关性(协方差)来解释,从而提供了随机相互作用量子系统的基态角动量分布的完全统计解释,这在原则上对费米子和玻色子系统都有效。该方法的相互作用玻色子模型示出。

英文摘要:

The observed preponderance of ground states with angular momentum L=0 in many-body quantum systems with random two-body interactions is analyzed in terms of correlation coefficients (covariances) among different eigenstates. It is shown that the geometric analysis of Chau {\it et al.} can be interpreted in terms of correlations (covariances) between energy eigenvalues thus providing an entirely statistical explanation of the distribution of ground state angular momenta of randomly interacting quantum systems which, in principle, is valid for both fermionic and bosonic systems. The method is illustrated for the interacting boson model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑