Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements

Details Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements

2008-01-14

arxiv.org/abs/0801.2027v1

Phys.Rev.C78:044305,2008

Physics

Nuclear Physics

Nuclear Theory

4 pages

Scientific paper

10.1103/PhysRevC.78.044305

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.

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