Lowest Eigenvalues of Random Hamiltonians

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dc.creatorShen, J. J.
dc.creatorZhao, Y. M.
dc.creatorArima, A.
dc.creatorYoshinaga, N.
dc.date2008-01-14
dc.date.accessioned2026-07-07T11:39:52Z
dc.date.available2026-07-07T11:39:52Z
dc.descriptionIn this paper we present results of the lowest eigenvalues of random Hamiltonians for both fermion and boson systems. We show that an empirical formula of evaluating the lowest eigenvalues of random Hamiltonians in terms of energy centroids and widths of eigenvalues are applicable to many different systems (except for $d$ boson systems). We improve the accuracy of the formula by adding moments higher than two. We suggest another new formula to evaluate the lowest eigenvalues for random matrices with large dimensions (20-5000). These empirical formulas are shown to be applicable not only to the evaluation of the lowest energy but also to the evaluation of excited energies of systems under random two-body interactions.
dc.identifierhttps://arxiv.org/abs/0801.2031
dc.identifierhttp://arxiv.org/abs/0801.2031
dc.identifierPhys.Rev.C77:054312,2008
dc.identifierdoi:10.1103/PhysRevC.77.054312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/200074
dc.subjectNuclear Theory
dc.titleLowest Eigenvalues of Random Hamiltonians
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