特征值与对角矩阵元的强线性相关
Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements
摘要：
我们研究了多体系统受两体力作用时的特征值以及随机矩阵的特征值。我们发现一个很强的线性相关特征值和对角矩阵元素，如果他们都是从较小的值排序到较大的。利用这种线性关系，我们可以合理地预测给定壳模型哈密顿量的所有特征值，而无需复杂的迭代。
英文摘要：
We investigate eigenvalues of many-body systems interacting by two-body forces as well as those of random matrices. 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 given shell model Hamiltonian without complicated iterations.
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。
