Spectral statistics of Hamiltonian matrices in tridiagonal form

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dc.contributor.authorRelaño Pérez, Armando
dc.contributor.authorMolina, R. A.
dc.contributor.authorZuker, A. P.
dc.contributor.authorRetamosa Granado, Joaquín
dc.date.accessioned2023-06-20T10:49:14Z
dc.date.available2023-06-20T10:49:14Z
dc.date.issued2005-06
dc.description©2005 The American Physical Society. We thank Oriol Bohigas for enlightening discussions. This work is supported in part by Spanish government grants BFM2000-0600 and FTN2000-0963-C02. R. A. Molina acknowledges financial support from the European Unions Human Potential Program (contract no. HPRN-CT-200000144).
dc.description.abstractWhen a matrix is reduced to Lanczos tridiagonal form, its matrix elements can be divided into an analytic smooth mean value and a fluctuating part. The next-neighbor spacing distribution P(s) and the spectral rigidity Delta _(3) are shown to be universal functions of the average value of the fluctuating part. It is explained why the behavior of these quantities suggested by random matrix theory is valid in far more general cases.
dc.description.departmentDepto. de Estructura de la Materia, Física Térmica y Electrónica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipSpanish Government
dc.description.sponsorshipEuropean Unions Human Potential Program
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/27768
dc.identifier.citation[1] C. E. Porter, ed., Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1965). [2] T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. 53, 385 (1981). [3] K. K. Mon and J. B. French, Ann. Phys. (NY) 95, 90 (1975). [4] F. M. Izrailev, Phys. Rep. 196, 299 (1990). [5] V. Zelevinsky, B. A. Brown, N. Frazier, and M. Horoi, Phys. Rep. 276, 85 (1996). [6] G. P. Berman, F. Borgonovi, F.M. Izrailev, andV. I. Tsifrinovich, Phys. Rev. E 65, 015204(R) (2001). [7] M. V. Berry and M. Tabor, Proc. R. Ser. London Sec. A 356, 375 (1977). [8] T. A. Brody, Lett. Nuovo Cimento 7, 482 (1973). [9] F. M. Izrailev, Phys. Lett. A134, 13 (1988). [10] F. J. Dyson, J. Math. Phys. 3, 140 (1962). [11] R. U. Haq, A. Pandey, and O. Bohigas, Phys. Rev. Lett. 48, 1086 (1982). [12] M. S. Bae, T. Otsuka, T.Mizusaki, and N. Fukunishi, Phys. Rev. Lett. 69, 2349 (1992). [13] R. A. Molina, J. M. G. Gómez, and J. Retamosa, Phys. Rev. C 63, 014311 (2001). [14] A. P. Zuker, L.Waha-Ndeuna, F. Nowacki, and E. Caurier, Phys. Rev. C 64, 021304(R) (2001). [15] A. P. Zuker, Phys. Rev. C 64, 021303(R) (2001). [16] A. D. Jackson, C. Mejía Monasterio, T. Rupp, M. Saltzer, and T. Wilke, Nucl. Phys. A687, 405 (2001). [17] J. M. G. Gómez, R. A. Molina, A. Relaño, and J. Retamosa, Phys. Rev. E 66, 036209 (2002). [18] E. Caurier, A. P. Zuker, A. Poves, andG.Martínez Pinedo, Phys. Rev. C 50, 225 (1994). [19] A. Relaño, J. M. G. Gómez, R. A. Molina, J. Retamosa, and E. Faleiro, Phys. Rev. Lett. 89, 244102 (2002).
dc.identifier.doi10.1103/PhysRevC.71.064317
dc.identifier.issn0556-2813
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevC.71.064317
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/51283
dc.issue.number6
dc.journal.titlePhysical Review C
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDBFM2000-0600
dc.relation.projectIDFTN2000-0963-C02
dc.relation.projectIDHPRN-CT-2000-00144
dc.rights.accessRightsopen access
dc.subject.cdu536
dc.subject.keywordEnergy-Levels
dc.subject.keywordQuantum Chaos
dc.subject.keywordShell-Model
dc.subject.keywordNuclei
dc.subject.ucmTermodinámica
dc.subject.unesco2213 Termodinámica
dc.titleSpectral statistics of Hamiltonian matrices in tridiagonal form
dc.typejournal article
dc.volume.number71
dspace.entity.typePublication
relation.isAuthorOfPublication53fed635-944b-485a-b13a-ea8f9355b7aa
relation.isAuthorOfPublication1d1118d9-569f-4139-988b-921ac5a8407c
relation.isAuthorOfPublication.latestForDiscovery53fed635-944b-485a-b13a-ea8f9355b7aa
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