Strong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements

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dc.creatorShen, J. J.
dc.creatorArima, A.
dc.creatorZhao, Y. M.
dc.creatorYoshinaga, N.
dc.date2008-01-14
dc.date.accessioned2026-07-07T11:55:12Z
dc.date.available2026-07-07T11:55:12Z
dc.descriptionWe 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0801.2027
dc.identifierhttp://arxiv.org/abs/0801.2027
dc.identifierPhys.Rev.C78:044305,2008
dc.identifierdoi:10.1103/PhysRevC.78.044305
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205169
dc.subjectNuclear Theory
dc.titleStrong Linear Correlation Between Eigenvalues and Diagonal Matrix Elements
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