Strong correlation between eigenvalues and diagonal matrix elements
文献类型：期刊论文
| 作者 | Shen, J. J.1; Arima, A.1,2; Zhao, Y. M.1,3,4; Yoshinaga, N.5 |
| 刊名 | PHYSICAL REVIEW C
 |
| 出版日期 | 2008-10-01 |
| 卷号 | 78页码:9 |
| ISSN号 | 0556-2813 |
| DOI | 10.1103/PhysRevC.78.044305 |
| 英文摘要 | We investigate eigenvalues of many-body systems interacting by two-body forces as well as those of random matrices. For two-body random ensemble, we find a strong linear correlation between eigenvalues and diagonal matrix elements if both of them are sorted from the smaller values to larger ones. By using this linear correlation we are able to predict reasonably all eigenvalues of a given Hamiltonian matrix without complicated iterations. For Gaussian orthogonal ensemble matrices, the hyperbolic tangent function improves the accuracy of predicted eigenvalues near the minimum and maximum. |
| WOS关键词 | INTERACTING BOSON MODEL ; NUCLEAR SHELL-MODEL ; DISTRIBUTIONS ; STATES ; LEVEL ; LIMIT |
| 资助项目 | National Natural Science Foundation of China[10575070] ; National Natural Science Foundation of China[10675081] ; Research Foundation for Doctoral Program of Higher Education in China[20060248050] ; Scientific Research Foundation of Ministry of Education in China[NCET-07-0557] ; Chinese Major State Basic Research Developing Program[2007CB815000] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000260574700020 |
| 出版者 | AMER PHYSICAL SOC |
| 资助机构 | National Natural Science Foundation of China ; Research Foundation for Doctoral Program of Higher Education in China ; Scientific Research Foundation of Ministry of Education in China ; Chinese Major State Basic Research Developing Program |
| 源URL | [http://119.78.100.186/handle/113462/29259]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Zhao, Y. M. |
| 作者单位 | 1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200240, Peoples R China 2.Japan Sci Fdn, Sci Museum, Chiyoda Ku, Tokyo 1020091, Japan 3.Natl Lab Heavy Ion Accelerator, Ctr Theoret Nucl Phys, Lanzhou 730000, Peoples R China 4.CCAST, World Lab, Beijing 100080, Peoples R China 5.Saitama Univ, Dept Phys, Saitama 3388570, Japan |
| 推荐引用方式 GB/T 7714 | Shen, J. J.,Arima, A.,Zhao, Y. M.,et al. Strong correlation between eigenvalues and diagonal matrix elements[J]. PHYSICAL REVIEW C,2008,78:9. |
| APA | Shen, J. J.,Arima, A.,Zhao, Y. M.,&Yoshinaga, N..(2008).Strong correlation between eigenvalues and diagonal matrix elements.PHYSICAL REVIEW C,78,9. |
| MLA | Shen, J. J.,et al."Strong correlation between eigenvalues and diagonal matrix elements".PHYSICAL REVIEW C 78(2008):9. |
入库方式： OAI收割
来源：近代物理研究所
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