Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements

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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.
4 pages

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Nuclear Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/205169

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0801.2027
 http://arxiv.org/abs/0801.2027
 Phys.Rev.C78:044305,2008
 doi:10.1103/PhysRevC.78.044305

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arXiv