Spectral statistics of Hamiltonian matrices in tridiagonal form



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Relaño Pérez, Armando and Molina, R. A. and Zuker, A. P. and Retamosa Granado, Joaquín (2005) Spectral statistics of Hamiltonian matrices in tridiagonal form. Physical Review C, 71 (6). ISSN 0556-2813

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Official URL: http://dx.doi.org/10.1103/PhysRevC.71.064317


When 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.

Item Type:Article
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©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).

Uncontrolled Keywords:Energy-Levels, Quantum Chaos, Shell-Model, Nuclei
Subjects:Sciences > Physics > Thermodynamics
ID Code:27768
Deposited On:18 Dec 2014 11:39
Last Modified:18 Dec 2014 11:39

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